### 11th Standard Maths Study material & Free Online Practice Tests - View Model Question Papers with Solutions for Class 11 Session 2020 - 2021 TN Stateboard [ Chapter , Marks , Book Back, Creative & Term Based Questions Papers - Syllabus, Study Materials, MCQ's Practice Tests etc..]

#### STD XI MATHEMATICS PRACTICE TEST 2 - by S.B.O.A. Matric and Hr Sec School - View & Read

• 1)

If the function f:[-3,3]➝S defined by f(x) = x2 is onto, then S is

• 2)

Solve : ${{x^2-4}\over{x^2-2x-15}}\le0$

• 3)

• 4)

If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 5)

The relation R defined on a set A= {0,-1, 1, 2} by xRy if |x2+y2| ≤ 2, then which one of the following is true?

#### 11th Standard Maths Differentiability & Methods of Differentiation English Medium Free Online Test 1 Mark Questions with Answer key 2020-2021 - by Question Bank Software - View & Read

• 1)

If g(x) = (x2 + 2x + 3) f(x) and f(0) = 5 and $lim_{x \rightarrow 0}{f(x)-5\over x}=4$then g'(0) is

• 2)

The derivative of f(x) = x |x| at x = −3 is

• 3)

Choose the correct or the most suitable answer from the given four alternatives.
If $y=\sin ^{ -1 }{ x } +\cos ^{ -1 }{ x }$ then $\frac { dy }{ dx }$ is _____

• 4)

Choose the correct or the most suitable answer from the given four alternatives.
If $f\left( x \right) =x+1$, then $\frac { d }{ dx } ({ f }_{ 0 }f\left( x \right) )$ is _________

• 5)

Choose the correct or the most suitable answer from the given four alternatives.
For the curve $\sqrt { x } +\sqrt { y } =1,\quad \frac { dy }{ dx } at\left( \frac { 1 }{ 4 } ,\frac { 1 }{ 4 } \right) is$ _________

#### 11th Standard Maths Matrices and Determinants English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

If aij = ${1\over2}(3i-2j)$ and A = [aij]2x2 is

• 2)

If A = $\begin{bmatrix}\lambda & 1 \\ -1 & -\lambda \end{bmatrix}$then for what value of $\lambda$, A2 = O?

• 3)

The value of x, for which the matrix A = $\begin{bmatrix} e^{x-2}& e^{7+x} \\ e^{2+x} & e^{2x+3} \end{bmatrix}$ is singular

• 4)

If $\triangle$ = $\begin{vmatrix} a&b &c \\ x & y & z \\ p &q &r \end{vmatrix}$then $\begin{vmatrix} ka&kb &kc \\ kx & ky & kz \\k p &kq &kr \end{vmatrix}$ is

• 5)

If a $\neq$ b, b, c satisfy $\begin{vmatrix} a&2b &2c \\3 & b & c \\ 4 & a & b \end{vmatrix}=0,$ then abc =

#### 11th Standard Maths Matrices and Determinants English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

What must be the matrix X, if 2x +$\begin{bmatrix} 1& 2 \\ 3 & 4 \end{bmatrix}=\begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}?$

• 2)

If the points (x,−2), (5, 2), (8, 8) are collinear, then x is equal to

• 3)

If the square of the matrix $\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}$ is the unit matrix of order 2, then $\alpha ,\beta$ and $\gamma$ should satisfy the relation.

• 4)

If A is skew-symmetric of order n and C is a column matrix of order n $\times$ 1, then CT AC is

• 5)

If A(B + C) = AB + AC where A, B, C are matrices of the same order than the property applied is matrix multipication is _______ .

#### 11th Standard Maths Vector Algebra - I English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

The value of $\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}$ is

• 2)

The unit vector parallel to the resultant of the vectors $\hat{i}+\hat{j}-\hat{k}$ and $\hat{i}-2\hat{j}+\hat{k}$ is

• 3)

The vectors $\overrightarrow{a}-\overrightarrow{b},\overrightarrow{b}-\overrightarrow{c},\overrightarrow{c}-\overrightarrow{a}$ are

• 4)

If $\overrightarrow{a}=\hat{i}+2\hat{j}+2\hat{k},|\overrightarrow{b}|=5$ and the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ is ${\pi\over 6},$ then the area of the triangle formed by these two vectors as two sides, is

• 5)

The vectors from origin to the points A and B are $2\hat { i } -3\hat { j } +2\hat { k }$ and $2\hat { i } +3\hat { j } +\hat { k }$ respectively, then the area of $\Delta$OAB is equal to

#### 11th Standard Maths Vector Algebra - I English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

If $\overrightarrow{a}+2\overrightarrow{b}$ and $3\overrightarrow{a}+m\overrightarrow{b}$ are parallel, then the value of m is

• 2)

A vector makes equal angle with the positive direction of the coordinate axes. Then each angle is equal to

• 3)

If ABCD is a parallelogram, then $\overrightarrow{AB}+\overrightarrow{AD}+\overrightarrow{CB}+\overrightarrow{CD}$ is equal to

• 4)

If $\overrightarrow{a},\overrightarrow{b}$ are the position vectors A and B, then which one of the following points whose position vector lies on AB, is

• 5)

If $\overrightarrow{r}={9\overrightarrow{a}+7\overrightarrow{b}\over16}$then the point P whose position vector $\overrightarrow{r}$ divides the line joining the points with position vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ in the ratio

#### 11th Standard Maths Differential Calculus - Limits and Continuity English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

$lim_{x\rightarrow\infty}{sin \ x \over x}$

• 2)

$lim_{x\rightarrow0}{\sqrt{1-cos 2x}\over x}$

• 3)

If f(x) = x(-1)$\left\lfloor 1\over x \right\rfloor$$x\le0$then the value of $lim_{x\rightarrow 0}f(x)$ is equal to

• 4)

Let the function f be defined by $f(x)=\left\{\begin{array}{ll} 3 x & 0 \leq x \leq 1 \\ -3 x+5 & 1<x \leq 2 \end{array},\right. \text { then }$

• 5)

The value of $lim_{x \rightarrow 0}{sin x\over \sqrt{x^2}}$ is

#### 11th Standard Maths Differential Calculus - Limits and Continuity English Medium Free Online Test 1 Mark Questions with Answer Key 2020-2021 - by Question Bank Software - View & Read

• 1)

$lim_{x\rightarrow {\pi/2}}{2x-\pi\over cosx}$

• 2)

$lim_{x \rightarrow \infty}{\sqrt{x^2-1}\over 2x+1}=$

• 3)

$lim_{x \rightarrow 3}\left\lfloor x \right\rfloor =$

• 4)

If f : $R \rightarrow R$ is defined by f(x)=$\left\lfloor x-3 \right\rfloor +|x-4|$ for $x \in R$, then $lim_{x\rightarrow 3^-}f(x)$ is equal to

• 5)

$lim_{n \rightarrow \infty}({1\over n^2}+{2\over n^2}+{3\over n^2}+..+{n\over n^2})$ is

#### 11th Standard Maths Differential Calculus - Differentiability and Methods of Differentiation English Medium Free Online Test 1 Mark Question 2020-2021 - by Question Bank Software - View & Read

• 1)

$\frac{d}{d x}\left(\frac{2}{\pi} \sin x^{\circ}\right)$ is

• 2)

If y = mx + c and f(0) =$f '(0)=1$then f(2) is

• 3)

${d\over dx}(e^{x+5log \ x})$ is

• 4)

The differential coefficient of log10 x with respect to logx10 is

• 5)

$\text { If } f(x)= \begin{cases}x-5 & \text { if } x \leq 1 \\ 4 x^2-9 & \text { if } 1<x<2 \\ 3 x+4 & \text { if } x \geq 2\end{cases}$, then the right hand derivative of f(x) at x = 2 is

#### 11th Standard Maths Integral Calculus English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

If $\int f(x) d x=g(x)+c$, then $\int f(x) g^{\prime}(x) d x$

• 2)

If $\int \frac{e^x(1+x)}{\cos ^2\left(x e^x\right)} d x$ is

• 3)

$\int \sin ^3 x d x$ is

• 4)

$\int \frac{e^x\left(x^2 \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^2+1} d x$ is

• 5)

$\int \frac{\sec ^2 x}{\tan ^2 x-1} d x$ is

#### 11th Standard Maths Integral Calculus English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

If $\int {3^{1\over x}\over x^2}dx=k(3^{1\over x})+c$then the value of k is

• 2)

$\int \frac{e^{6 \log x}-e^{5 \log x}}{e^{4 \log x}-e^{3 \log x}} d x$ is

• 3)

$\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} d x$ is

• 4)

$\int \frac{x^2+\cos ^2 x}{x^2+1} \operatorname{cosec}^2 x d x$ is

• 5)

$\int e^{-4 x} \cos x d x$ is

#### 11th Standard Maths Introduction To Probability Theory English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

Let A and B be two events such that $P(\overline{A\cup B})={1\over6}, P(A\cap B)={1\over4}$ and ${P(\overline{A})}={1\over4}$Then the events A and B are

• 2)

A man has 3 fifty rupee notes, 4 hundred rupees notes, and 6 five hundred rupees notes in his pocket. If 2 notes are taken at random, what are the odds in favour of both notes being of hundred rupee denomination?

• 3)

If A and B are two events such that A ⊂ B and P(B)$\neq o$then which of the following is correct?

• 4)

If X and Y be two events such that P(X/Y) = ${1\over2},P(Y/X)={1\over3}$ and $P(X\cap Y)={1\over6}$then P(X$\cup$Y) is

• 5)

If two events A and B are such that $P(\overline{A})={3\over10}$ and $P(A \cap \overline{B})={1\over2},$ then $P(A\cap B)$ is

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Three - by Question Bank Software - View & Read

• 1)

If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 2)

If ${ log }_{ \sqrt { x } }$ 0.25 = 4, then the value of x is

• 3)

Assertion (A) : cos x = $\frac{-1}{2}$ and 0$\frac{2\pi}{3},\frac{4\pi}{3}$.
Reason (R) : cos is negative in the first and fourth quadrant only.

• 4)

The sum up to n terms of the series $\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +$....is

• 5)

The sum of the series C02- C12 + C22 .....+ (- 1)nC2n where n is an even integer is ______________

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Four - by Question Bank Software - View & Read

• 1)

The range of the function $f(x) = \left| \left\lfloor x \right\rfloor - x \right| ,x \in R$  is

• 2)

The condition that the equation ax2 + bx + c = 0 may have one root is the double the other is ___________

• 3)

If $\alpha$ and $\beta$ are two values of θ obtained from the equation a cos θ + b sin θ = c then the value of $tan(\frac{\alpha+\beta}{2})$ is _______________

• 4)

a polygon has 44 diagonals, then the number of its sides are _________

• 5)

$\frac{1}{q+r},\frac{1}{r+p},\frac{1}{p+q}$ are in A.P., then ______________

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Four - by Question Bank Software - View & Read

• 1)

If 3 is the logarithm of 343, then the base is

• 2)

If the arcs of same lengths in two circles sustend central angles 30° and 40° find the ratio of their radii _______________

• 3)

The value of cos 20°- sin 20° is _______________

• 4)

If nC4,nC5,nC6 are in AP the value of n can be

• 5)

Each of five questions is a multiple-choice test has 4 possible answers. The number of different sets of possible answers is  _________

#### 11th Standard Maths Introduction To Probability Theory English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

A number is selected from the set {1,2,3,...,20}. The probability that the selected number is divisible by 3 or 4 is

• 2)

A bag contains 5 white and 3 black balls. Five balls are drawn successively without replacement. The probability that they are alternately of different colours is

• 3)

A bag contains 6 green, 2 white, and 7 black balls. If two balls are drawn simultaneously, then the probability that both are different colours is

• 4)

If two events A and B are independent such that P(A) = 0.35 and $P(A\cup B)=0.6$then P(B) is

• 5)

In a certain college 4% of the boys and 1% of the girls are taller than 1.8 meter. Further 60% of the students are girls. If a student is selected at random and is taller than 1.8 meters, then the probability that the student is a girl is

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - by Question Bank Software - View & Read

• 1)

The function f:R➝R be defined by f(x) = sinx + cosx is

• 2)

If ${ log }_{ \sqrt { x } }$ 0.25 = 4, then the value of x is

• 3)

$\sqrt [ 4 ]{ 11 }$ is equal to ___________

• 4)

If tan α and tan β are the roots of x2 + ax + b = 0; then $\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta }$ is equal to

• 5)

If tan A = $\frac { a }{ a+1 }$ and B = $\frac { 1 }{ 2a+1 }$ then the value of A + B is ___________

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - by Question Bank Software - View & Read

• 1)

If $x={1\over 2+\sqrt{3}}$ then the value of x3 - x2 - 11x + 3 is

• 2)

If sin α + cos α = b, then sin 2α is equal to

• 3)

If 10 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then the total number of points of intersection are

• 4)

The number of positive integral solution of $x\times y\times z=30$ is  _________

• 5)

Which one of the following statements in false?

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Two - by Question Bank Software - View & Read

• 1)

The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

$\sqrt [ 4 ]{ 11 }$ is equal to ___________

• 3)

Solve 3x2 + 5x - 2≤0

• 4)

The value of log 1 is

• 5)

If cos x = $\frac { -1 }{ 2 }$ $0 < x < 2\pi$ and, then the solutions are _______________

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Two - by Question Bank Software - View & Read

• 1)

Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

• 2)

$n(p(A))=512,n(p(B))=32,n(A\cup B)=16,$ find $n(A\cap B)$  ___________

• 3)

If A and B are any two finite sets having m and n elements respectively then the cardinality of the power set of A $\times$ B is ___________

• 4)

The value of log10+ log105- log10= ___________

• 5)

Everybody in a room shakes hands with everybody else. The total number of handshakes is 91. The total number of persons in the room is _________

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Three - by Question Bank Software - View & Read

• 1)

The function f:R➝R be defined by f(x) = sinx + cosx is

• 2)

The number of reflective relations one set containing n elements is __________

• 3)

If ${ log }_{ \sqrt { x } }$ 0.25 = 4, then the value of x is

• 4)

2tan-1$\left( \frac { 1 }{ 5 } \right)$ is equal to _______________

• 5)

The number of ways in which we can arrange 4 letters of the word "MATHEMATICS" is given by  _________

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Five - by Question Bank Software - View & Read

• 1)

If n((A $\times$ B) ∩(A $\times$ C)) = 8 and n(B ∩ C) = 2, then n(A) is

• 2)

Domain of the function $y={x-1\over x+1}$ is __________

• 3)

Which one of the following is false?

• 4)

Find a so that the sum and product of the roots of the equation 2x2+ (a - 3) x + 3a - 5 = 0 are equal is

• 5)

If $\alpha$ and $\beta$ are the roots of 2x2 - 3x - 4 = 0 find the value of $\alpha^2+\beta^2$

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Five - by Question Bank Software - View & Read

• 1)

The function f(x) = log (x + $\sqrt{x^2+1}$) is ___________

• 2)

If a and b are the roots of the equation x2- kx + 16 = 0 and a2+ b= 32, then the value of k is

• 3)

The number of real solution of |2x - x2- 3| = 1 is ___________

• 4)

If nPr=k x n-1Pr-1 what is k:

• 5)

Choose the incorrect pair:

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Six - by Question Bank Software - View & Read

• 1)

If two sets A and B have 17 elements in common, then the number of elements common to the set A $\times$B and B $\times$A is

• 2)

Which one of the following statements is false? The graph of the function $f(x)={1\over x}$

• 3)

If |x + 3| ≥ 10 then ___________

• 4)

The quadratic equation whose roots are tan 75° and cot 75° is _______________

• 5)

If 10n + 3 $\times$ 4n+2+$\lambda$ is divisible by 9 for all n $\in$N, then the least positive integral value of $\lambda$ is _________

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Seven - by Question Bank Software - View & Read

• 1)

If A = {(x,y) : y = sin x, x ∈ R} and B = {(x,y) : y = cos x, x ∈ R} then A∩B contains

• 2)

Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

• 3)

Domain of the function $y={x-1\over x+1}$ is __________

• 4)

The number of solution of x+ |x - 1| = 1 is

• 5)

Choose the incorrect statement

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Six - by Question Bank Software - View & Read

• 1)

The function f:R➝R is defined by f(x)=$\frac { \left( { x }^{ 2 }+cosx \right) \left( 1+{ x }^{ 4 } \right) }{ \left( x-sinx \right) \left( 2x-{ x }^{ 3 } \right) } +{ e }^{ -\left| x \right| }$ is

• 2)

Let A = {-2, -1, 0, 1, 2} and f : A ⟶ Z be given by f(x) = x2- 2x - 3 then preimage of 5 is ___________

• 3)

If sin(45 ° + 10°) - sin(45° -10°) = $\sqrt{2}$sin x then x is ___________

• 4)

The numerical value of tan-11 + tan-12 + tan-13 = _______________

• 5)

The nth term of the sequence $\frac { 1 }{ 2 } ,\frac { 3 }{ 4 } ,\frac { 7 }{ 8 } ,\frac { 15 }{ 6 }$,......is

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Seven - by Question Bank Software - View & Read

• 1)

If A = {(x,y) : y = ex, x∈R} and B = {(x,y) : y = e-x, x ∈ R} then n(A∩B) is

• 2)

If the roots of x2-bx + c = 0 are two consecutive integer,then b2- 4c is ___________

• 3)

Logarithm of 144 to the base 2$\sqrt{3}$ is ___________

• 4)

The value of $\sqrt [ 4 ]{ { (-2) }^{ 4 } } =$ _______.

• 5)

cos 6x - cos 8x = _______________

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Eight - by Question Bank Software - View & Read

• 1)

If A = {(x,y) : y = ex, x∈R} and B = {(x,y) : y = e-x, x ∈ R} then n(A∩B) is

• 2)

If A = {x / x is an integer, x2 $\le$ 4} then elements of A are ___________

• 3)

Solve $\sqrt{7+6x-x^2}=x+1$

• 4)

The value of log 1 is

• 5)

If $\Sigma n=210$ then $\Sigma { n }^{ 2 }$= ______________

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Eight - by Question Bank Software - View & Read

• 1)

The function f(x) = log (x + $\sqrt{x^2+1}$) is ___________

• 2)

The value of log10+ log105- log10= ___________

• 3)

For x≥2, |x-2|=

• 4)

$\left(1+\frac{1}{\lfloor2}+\frac{1}{\lfloor4}+\frac{1}{\lfloor6}+...\right)^2-\left(1+\frac{1}{\lfloor3}+\frac{1}{\lfloor5}+\frac{1}{\lfloor7}+...\right)^2=$______________

• 5)

Find the nearest point on the line 3x + y = 10 from the origin is ______________

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Nine - by Question Bank Software - View & Read

• 1)

Let A = {-2, -1, 0, 1, 2} and f : A ⟶ Z be given by f(x) = x2- 2x - 3 then preimage of 5 is ___________

• 2)

If a and b are the real roots of the equation x2- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

• 3)

Zero of the polynomial p(x) = x2 - 4x + 4

• 4)

In a triangle ABC, sin2A + sin2B + sin2C = 2, then the triangle is

• 5)

There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Nine - by Question Bank Software - View & Read

• 1)

The range of the function ${1\over 1-2sinx}$ is

• 2)

cos p = $\frac { 1 }{ 7 }$ and cos Q = $\frac { 13 }{ 14 }$ where P, Q are angles, then P-Q is _______________

• 3)

The coefficient of a5 in the expansion of (3a + 5b)5 is ______________

• 4)

If(1, 3) (2,1) (9, 4) are collinear then a is ______________

• 5)

The function $f\left( x \right) =\tan { x }$ is discontinuous on the set

#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Ten - by Question Bank Software - View & Read

• 1)

$n(p(A))=512,n(p(B))=32,n(A\cup B)=16,$ find $n(A\cap B)$  ___________

• 2)

If 3 is the logarithm of 343, then the base is

• 3)

$\frac { cos3x }{ 2cos2x-1 }$ is _______________

• 4)

The number of positive integral solution of $x\times y\times z=30$ is  _________

• 5)

The sum of the digits in the unit's place of all the 4- digit numbers formed by 3, 4, 5 and 6, without repetition, is _______.

#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Ten - by Question Bank Software - View & Read

• 1)

If $f:R\rightarrow R$ is defined by $f(x)=2x-3$ __________

• 2)

The triangle of maximum area with constant perimeter 12m

• 3)

tan 70°- tan 20°= _____________

• 4)

The product of first n odd natural numbers equals

• 5)

The middle term in the expansion of  is $(x- \frac{2}{x})^{12}$ is ______________

#### 11th Standard Maths Binomial Theorem, Sequences and Series English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 2)

The sum up to n terms of the series $\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +\sqrt { 32 } +$.....is

• 3)

The sum of an infinite GP is 18. If the first term is 6, the common ratio is

• 4)

The value of $\frac { 1 }{ 2! } +\frac { 1 }{ 4! } +\frac { 1 }{ 6! } +....is$

• 5)

The first and last term of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be ______________

#### 11th Standard Maths Two Dimensional Analytical Geometry English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

The equation of the locus of the point whose distance from y-axis is half the distance from origin is

• 2)

The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3, 4) with coordinate axes are

• 3)

The point on the line 2x- 3y = 5 is equidistance from (1, 2) and (3, 4) is

• 4)

The length of $\bot$ from the origin to the line $\frac{x}{3}-\frac{y}{4}=1,$ is

• 5)

If one of the lines given by 6x2 - xy + 4cy2 = 0 is 3x + 4y = 0, then c equals to

#### 11th Standard Maths Two Dimensional Analytical Geometry English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

Which of the following equation is the locus of (at2, 2at)

• 2)

The slope of the line which makes an angle 45o with the line 3x- y = -5 are:

• 3)

The coordinates of the four vertices of a quadrilateral are (-2, 4), (-1, 2), (1, 2) and (2, 4) taken in order. The equation of the line passing through the vertex (-1, 2) and dividing the quadrilateral in the equal areas is

• 4)

Equation of the straight line perpendicular to the line x - y + 5 = 0, through the point of intersection the y-axis and the given line

• 5)

The line (p + 2q)x + (p - 3q)y = p - q for different values of p and q passes through the point

#### 11th Standard Maths Binomial Theorem, Sequences and Series English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 2)

The sum of an infinite GP is 18. If the first term is 6, the common ratio is

• 3)

If the sum of n terms of an A. P. be 3n2 - n and its common difference is 6, then its first term is ______________

• 4)

If in an infinite G. P. first term is equal to 10 times the sum of all successive terms, then its common ratio is ______________

• 5)

If $\Sigma n=210$ then $\Sigma { n }^{ 2 }$= ______________

#### 11th Standard Maths Combinations and Mathematical Induction English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

• 2)

The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is

• 3)

The number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king is

• 4)

The number of 10 digit number that can be written by using the digits 2 and 3 is

• 5)

The product of first n odd natural numbers equals

#### 11th Standard Maths English Medium Free Online Test Book Back One Mark Questions - by Question Bank Software - View & Read

• 1)

The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

If |x+2| $\le$ 9, then x belongs to

• 3)

$\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } }$=

• 4)

The sum of the digits at the 10th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

• 5)

If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then x is

#### 11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - by Question Bank Software - View & Read

• 1)

The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

Given that x, y and b are real numbers x < y, b > 0, then

• 3)

If cos 280+ sin 28= k3, then cos 170 is equal to

• 4)

In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct is

• 5)

The sequence $\frac { 1 }{ \sqrt { 3 } } ,\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } }, \frac { 1 }{ \sqrt { 3 } +2\sqrt { 2 } },......$form an

#### 11th Standard Maths English Medium Free Online Test Book Back One Mark Questions - Part Two - by Question Bank Software - View & Read

• 1)

Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is

• 2)

If $\frac { |x-2| }{ x-2 } \ge 0$, then x belongs to

• 3)

$\left( 1+cos\frac { \pi }{ 8 } \right) \left( 1+cos\frac { 3\pi }{ 8 } \right) \left( 1+cos\frac { 5\pi }{ 8 } \right) \left( 1+cos\frac { 7\pi }{ 8 } \right)$ =

• 4)

The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

• 5)

The HM of two positive numbers whose AM and GM are 16, 8 respectively is

#### 11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Two - by Question Bank Software - View & Read

• 1)

The inverse of f(x) = $\begin{cases} x\quad if\quad x<1 \\ { x }^{ 2 }\quad if\quad 1\le x\le 4 \\ 8\sqrt { x } \quad if\quad x>4 \end{cases}$ is

• 2)

If 8 and 2 are the roots of x2+ ax + c = 0 and 3, 3 are the roots of x+ dx + b = 0; then the roots of the equation x2+ ax + b = 0 are

• 3)

The product of r consecutive positive integers is divisible by

• 4)

The sum up to n terms of the series $\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +$....is

• 5)

If a is the arithmetic mean and g is the geometric mean of two numbers, then

#### 11th Standard Maths English Medium Free Online Test Book Back One Mark Questions - Part Three - by Question Bank Software - View & Read

• 1)

Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

• 2)

Let f : Z➝Z be given by f(x) = $\begin{cases} \frac { x }{ 2 } \quad if\quad x\quad is\quad even \\ 0\quad if\quad x\quad is\quad odd \end{cases}$. Then f is __________

• 3)

If ${ log }_{ \sqrt { x } }$ 0.25 = 4, then the value of x is

• 4)

$(\sqrt { 5 } -2)(\sqrt { 5 } +2)$ is equal to ___________

• 5)

If cos pፀ + cos qፀ = 0 and if p ≠ q, then ፀ is equal to (n is any integer)

#### 11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Three - by Question Bank Software - View & Read

• 1)

If ${ log }_{ \sqrt { x } }$ 0.25 = 4, then the value of x is

• 2)

$\frac { sin(A-B) }{ cosAcosB } +\frac { sin(B-C) }{ cosBcosC } +\frac { sin(C-A) }{ cosCcosA }$ is

• 3)

The number of five digit telephone numbers having at least one of their digits repeated is

• 4)

Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2$\sqrt{2}$ is

• 5)

If A =$\begin{bmatrix} 1& 2 &2 \\ 2 & 1 & -2 \\ a & 2 & b \end{bmatrix}$ is a matrix satisfying the equation AAT = 9I, where I is 3 $\times$ 3 identity matrix, then the ordered pair (a, b) is equal to

#### 11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - by Question Bank Software - View & Read

• 1)

Which one of the following is a finite set?

• 2)

The value of $\sqrt [ 4 ]{ { (-2) }^{ 4 } } =$ _______.

• 3)

The value of sin2$\frac { 5\pi }{ 12 } -sin^{ 2 }\frac { \pi }{ 12 }$ is ___________

• 4)

If nC10 = nC6, then nC2 =  _________

• 5)

The value of ${ 9 }^{ \frac { 1 }{ 3 } }$ ,${ 9 }^{ \frac { 1 }{ 9 } }$${ 9 }^{ \frac { 1 }{ 27}}$,$\infty$ is ______________

#### 11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - by Question Bank Software - View & Read

• 1)

• 2)

The number of reflective relations one set containing n elements is __________

• 3)

$(\sqrt { 5 } -2)(\sqrt { 5 } +2)$ is equal to ___________

• 4)

If cosec x + cot x = $\frac { 11 }{ 2 }$ then tan x = ___________

• 5)

Among the players 5 are bowlers. In how many ways a team of 11 may be formed with atleast 4 bowlers?

#### 11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Two - by Question Bank Software - View & Read

• 1)

If $f:[-2,2]\rightarrow A$ is given by f(x) = 33 then f is onto, if A is ___________

• 2)

The number of ways in which we can arrange 4 letters of the word "MATHEMATICS" is given by  _________

• 3)

The coefficient of a5 in the expansion of (3a + 5b)5 is ______________

• 4)

The length of perpendicular from the origin to a line is 12 and the line makes an angle of 120° with the positive direction of y-axis. then the equation of line is ______________

• 5)

If co-ordinate axes are the angle bisectors of the pair of lines ax2+ 2hxy + by= 0 then ______________

#### 11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Two - by Question Bank Software - View & Read

• 1)

The number of reflective relations one set containing n elements is __________

• 2)

For the below figure of ax2 + bx + c = 0

• 3)

Among the players 5 are bowlers. In how many ways a team of 11 may be formed with atleast 4 bowlers?

• 4)

The Co-efficient of x3 in $\sqrt { \frac { 1-x }{ 1+x } } ,\left| x \right| <1\ is\$______________

• 5)

$\frac{1}{q+r},\frac{1}{r+p},\frac{1}{p+q}$ are in A.P., then ______________

#### 11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Three - by Question Bank Software - View & Read

• 1)

Let S = (1, 2, 3), R be (1, 1) (1, 2) (2, 2) (1, 3) (3, 1), what are the elements to-be included to make R reflexive ___________

• 2)

(x2-2x+2)(x2+2x+2) are the factors of the polynomial ___________

• 3)

The product of r consecutive positive integers is divisible by _________

• 4)

The middle term in the expansion of  is $(x- \frac{2}{x})^{12}$ is ______________

• 5)

If $\begin{bmatrix} 2x+y & 4x \\ 5x-7 & 4x \end{bmatrix}=\begin{bmatrix} 7 & 7y-13 \\ y & x+6 \end{bmatrix}$, then the value of x+y is _________ .

#### 11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Three - by Question Bank Software - View & Read

• 1)

The number of relations from a set containing 4 elements to a set containing 3 elements is:

• 2)

$(\sqrt { 5 } -2)(\sqrt { 5 } +2)$ is equal to ___________

• 3)

2 sin 5x cos x _______________

• 4)

If 15C3r = 15 Cr+3 , then r is equal to _________

• 5)

If $\Sigma n=210$ then $\Sigma { n }^{ 2 }$= ______________

#### 11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Four - by Question Bank Software - View & Read

• 1)

If tan x = $\frac { -1 }{ \sqrt { 5 } }$ and x lies in the IV quadrant, then the value of cos x is ___________

• 2)

cos 35+ cos 85+ cos 155= _______________

• 3)

The value of sin 20° sin 40° sin 60° sin18° is _______________

• 4)

If (A + B) = $\frac{\pi}{4}$, (cot A - 1) (cot B - 1) = _______________

• 5)

The value of tan-1 (1) + cos-1($\frac{-1}{2}$) + sin-1($\frac{-1}{2}$) _______________

#### 11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Four - by Question Bank Software - View & Read

• 1)

Which of the following functions from z to itself are bijections (one-one and onto)?

• 2)

The domain of the function $f(x)=\sqrt{4-\sqrt{4-\sqrt{4-x^2}}}$

• 3)

The rationalising factor of $\frac { 5 }{ \sqrt [ 3 ]{ 3 } }$ is

• 4)

The condition that the equation ax2 + bx + c = 0 may have one root is the double the other is ___________

• 5)

Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is _________

#### 11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Five - by Question Bank Software - View & Read

• 1)

Let X = {a, b,c},y = (1, 2, 3) then $f:x\rightarrow y$ given by (a, 1) (b, 1) (c, 1) is called ___________

• 2)

Which one of the following is false?

• 3)

The logarithmic form of 5= 25 is ___________

• 4)

If 15C3r = 15 Cr+3 , then r is equal to _________

• 5)

nCr + 2nCr-1 + nCr-2 =  _________

#### 11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Five - by Question Bank Software - View & Read

• 1)

The value of a when x3- 2x2+ 3x + a is divided by (x - 1), the remainder is 1, is ___________

• 2)

If nCr-1 = 36, nCr = 84 and nCr+1 = 126 then r = _________

• 3)

21/4 41/8 81/16 161/32 . . . = ______________

• 4)

If the co-ordinates of a variable point p be $(t+\frac{1}{t},t-\frac{1}{t})$ where t is the parameter then the locus of p ______________

• 5)

If A is a matrix 3 $\times$ 3, then ${ { (A }^{ 2 }) }^{ -1 }$ =____________

#### 11th Standard Maths English Medium Free Online Test Volume 1 One Mark Questions 2020 - by Question Bank Software - View & Read

• 1)

If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 2)

The relation R defined on a set A= {0,-1, 1, 2} by xRy if |x2+y2| ≤ 2, then which one of the following is true?

• 3)

The domain of the function $f(x)=\sqrt{log_{10}{3-x\over x}}$is

• 4)

The domain and range of the function $f(x)={|x-4|\over x-4}$

• 5)

The value of ${ log }_{ 3 }\frac { 1 }{ 81 }$ is

#### 11th Standard Maths English Medium Free Online Test Volume 1 One Mark Questions with Answer Key 2020 - by Question Bank Software - View & Read

• 1)

If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 2)

If f(x) = |x - 2| + |x + 2|, x ∈ R, then

• 3)

Let S = (1, 2, 3), R be (1, 1) (1, 2) (2, 2) (1, 3) (3, 1), what are the elements to-be included to make R reflexive ___________

• 4)

If ${ log }_{ \sqrt { x } }$ 0.25 = 4, then the value of x is

• 5)

$(\sqrt { 5 } -2)(\sqrt { 5 } +2)$ is equal to ___________

#### 11th Standard Maths English Medium Free Online Test Volume 2 One Mark Questions 2020 - by Question Bank Software - View & Read

• 1)

If A and B are two matrices such that A + B and AB are both defined, then

• 2)

If the square of the matrix $\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}$ is the unit matrix of order 2, then $\alpha ,\beta$ and $\gamma$ should satisfy the relation.

• 3)

If A + I =$\begin{bmatrix} 3& -2 \\ 4 & 1 \end{bmatrix}$then (A + I )(A - I) is equal to

• 4)

If A and B are square matrices of order 3 and |A| = 5, |B| = 3 then |3 AB| is _____________

• 5)

One of the diagonals of parallelogram ABCD with $\overrightarrow{a}$ and $\overrightarrow{b}$ as adjacent sides is $\overrightarrow{a}+\overrightarrow{b}$ The other diagonal $\overrightarrow{BD}$ is

#### 11th Standard Maths English Medium Free Online Test Volume 2 One Mark Questions with Answer Key 2020 - by Question Bank Software - View & Read

• 1)

If $\begin{vmatrix}2a & x_1 &y_1 \\ 2b & x_2 & y_2 \\ 2c & x_3 &y_3 \end{vmatrix}={abc\over 2}\neq 0,$ then the area of the triangle whose vertices are $\begin{pmatrix} {x_1\over a}, {y_1\over a} \end{pmatrix}$$\begin{pmatrix} {x_2\over b}, {y_2\over b} \end{pmatrix}$$\begin{pmatrix} {x_3\over c}, {y_3\over c} \end{pmatrix}$ is

• 2)

The value of the determinant of A = $\begin{bmatrix} 0&a &-b \\ -a & 0 & c \\ b & -c & 0 \end{bmatrix}is$

• 3)

If $\overrightarrow{a}+2\overrightarrow{b}$ and $3\overrightarrow{a}+m\overrightarrow{b}$ are parallel, then the value of m is

• 4)

Let f :$R \rightarrow R$ be defined by $f(x)= \begin{cases}x & x \text { is irrational } \\ 1-x & x \text { is rational }\end{cases}$  then f is

• 5)

$\lim _{ x\rightarrow 1 }{ \frac { { x }^{ m }-1 }{ { x }^{ n }-1 } } is$

#### 11th Standard Maths Sets, Relations and Functions English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

If the function f:[-3,3]➝S defined by f(x) = x2 is onto, then S is

• 3)

Which one of the following is a finite set?

• 4)

Given A = {5,6,7,8}. Which one of the following is incorrect?

• 5)

If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

#### 11th Standard Maths Sets, Relations and Functions English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

• 3)

If f(x) = |x - 2| + |x + 2|, x ∈ R, then

• 4)

If two sets A and B have 17 elements in common, then the number of elements common to the set A $\times$B and B $\times$A is

• 5)

Let f : Z➝Z be given by f(x) = $\begin{cases} \frac { x }{ 2 } \quad if\quad x\quad is\quad even \\ 0\quad if\quad x\quad is\quad odd \end{cases}$. Then f is __________

#### 11th Standard Maths Basic Algebra English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

If |x+2| $\le$ 9, then x belongs to

• 2)

The value of loga b logb c logc a is

• 3)

Find a so that the sum and product of the roots of the equation 2x2+ (a - 3) x + 3a - 5 = 0 are equal is

• 4)

If 8 and 2 are the roots of x2+ ax + c = 0 and 3, 3 are the roots of x+ dx + b = 0; then the roots of the equation x2+ ax + b = 0 are

• 5)

If  $\frac { kx }{ (x+2)(x-1) } =\frac { 2 }{ x+2 } +\frac { 1 }{ x-1 }$, then the value of k is

#### 11th Standard Maths Basic Algebra English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

Given that x, y and b are real numbers x < y, b > 0, then

• 2)

If 3 is the logarithm of 343, then the base is

• 3)

If a and b are the real roots of the equation x2- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

• 4)

If  $\frac { 1-2x }{ 3+2x-{ x }^{ 2 } } =\frac { A }{ 3-x } +\frac { B }{ x+1 }$, then the value of A + B is

• 5)

If - 3x + 17 < -13 then ___________

#### 11th Standard Maths Trigonometry English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

$\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } }$=

• 2)

The maximum value of 4sin2x + 3 cos2x + $sin\frac { x }{ 2 } +cos\frac { x }{ 2 }$ is

• 3)

cos1+ cos2+ cos3+: : : + cos179=

• 4)

If tan α and tan β are the roots of x2 + ax + b = 0; then $\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta }$ is equal to

• 5)

If sin α + cos α = b, then sin 2α is equal to

#### 11th Standard Maths Trigonometry English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - View & Read

• 1)

If cos 280+ sin 28= k3, then cos 170 is equal to

• 2)

If tan40= λ, then $\frac { tan{ 140 }^{ 0 }-tan{ 130 }^{ 0 } }{ 1+tan{ 140 }^{ 0 }.tan{ 130 }^{ 0 } }$ =

• 3)

Let fk(x) = $\frac { 1 }{ k }$[sinkx + coskx] where x$\in$R and k ≥ 1. Then f4(x) - f6(x) =

• 4)

In a triangle ABC, sin2A + sin2B + sin2C = 2, then the triangle is

• 5)

A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?

#### 11th Standard Maths Combinations and Mathematical Induction English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - View & Read

• 1)

The sum of the digits at the 10th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

• 2)

The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

• 3)

The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is

• 4)

Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is

• 5)

The product of r consecutive positive integers is divisible by _________

#### 11th Standard Maths Important Question - by Question Bank Software - View & Read

• 1)

By taking suitable sets A, B, C, verify the following results:
C-(B-A) = (C$\cap$ A) $\cup$ (C$\cap$B')

• 2)

Discuss the following relations for reflexivity, symmetricity and transitivity:
Let A be the set consisting of all the members of a family. The relation R defined by "aRb if a is not a sister of b".

• 3)

Discuss the following relations for reflexivity, symmetricity and transitivity :
On the set of natural numbers, the relation R is defined by "xRy if x + 2y = 1".

• 4)

Draw the curves of
(i) y = x2 + 1
(ii) Y = (x + 1)2 by using the graph of curve y = x.

#### 11th Maths - Full Portion Five Marks Question Paper - by 8682895000 - View & Read

• 1)

A simple cipher takes a number and codes it, using the function f(x) = 3x - 4. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y = x(by drawing the lines)

• 2)

Graph the function f(x) = x3 and $g(x)=\sqrt[3]x$ on the same co-ordinate plane. Find f o g and graph it on the plane as well. Explain your results.

• 3)

Write the values of f at -3, 5, 2, -1, 0 if
$f(x)=\begin{cases} x^2+x-5\quad if\ x \in(-\infty, 0) \\x^2+3x-2\quad if\ x\in(3,\infty) \\x^2\quad \quad \quad \quad \quad if\ x\ \in(0,2) \\x^2-3 \quad \quad \quad otherwise \end{cases}$

• 4)

If a= by + cz, b= cz + ax and c2 ax + by, prove that ${{x}\over{a+x}}+{{y}\over{b+y}}+{{z}\over{c+z}}=1.$

• 5)

Determine the region in the plane determined by the inequalities.
$2x+3y\le 6,\ x+4y\le 4,\ x\ge 0,\ y\ge 0.$

#### 11th Maths - Full Portion Three Marks Question Paper - by 8682895000 - View & Read

• 1)

The function for exchanging American dollars for Singapore Dollar on a given day is f(x) = 1.23x, where x represents the number of American dollars. On the same day function for exchanging Singapore dollar to Indian Rupee is g(y) = 50.50y, Where y represents the number of Singapore dollars. Write a function which will give the exchange rate of American dollars in terms of Indian rupee

• 2)

Find the domain of $\frac { 1 }{ 1-2sinx }$

• 3)

Check whether the following for one-to-oneness and ontoness.
(i) $f:R\rightarrow R$ defined by f(x) $f(x)={1\over x}.$
(ii) $f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}$ defined by $f(x)=\frac{1}{x}$

• 4)

Compute log35 log2527

• 5)

For each given Angle, find a coterminal angle with a measure of $\theta$ such that $0^o\le \theta \le 360°$
3950

#### 11th Maths - Full Portion Two Marks Question Paper - by 8682895000 - View & Read

• 1)

State whether the following sets are finite or infinite.
{x $\in$ Z : x is even and less than 10}

• 2)

Discuss the following relations for reflexivity, symmetricity and transitivity :
Let A be the set consisting of all the female members of a family. The relation R defined by "aRb if a is not a sister of b".

• 3)

Discuss the following relations for reflexivity, symmetricity and transitivity :
On the set of natural numbers, the relation R is defined by "xRy if x + 2y = 1".

• 4)

Find the range of the following functions given by f(x) = 1 + 3 cos 2x.

• 5)

Simplify $\left( 125 \right) ^{ \frac { 2 }{ 3 } }$

#### 11th Maths - Public Exam Model Question Paper 2019 - 2020 - by Question Bank Software - View & Read

• 1)

Which one of the following is not a singleton set?

• 2)

The value of ${ log }_{ \sqrt { 2 } }512$ is

• 3)

If ABCD is a cyclic quadrilateral then cos A + cos B + cos C + cos D = _______________

• 4)

In 2nC3 : nC3 = 11 : 1 then n is

• 5)

Expansion of $log(\sqrt \frac{1+x}{1-x})$ is ______________

#### 11th Maths - Revision Model Question Paper 2 - by Question Bank Software - View & Read

• 1)

For any four sets A, B, C and D, which of the following is not true?

• 2)

The number of roots of (x + 3)4+ (x + 5)= 16 is

• 3)

If tan x = $\frac { -1 }{ \sqrt { 5 } }$ and x lies in the IV quadrant, then the value of cos x is ___________

• 4)

In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct is

• 5)

The coefficient of x5 in the series e-2x is

#### 11th Maths - Binomial Theorem, Sequences and Series Model Question Paper - by Question Bank Software - View & Read

• 1)

The sequence $\frac { 1 }{ \sqrt { 3 } } ,\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } }, \frac { 1 }{ \sqrt { 3 } +2\sqrt { 2 } },......$form an

• 2)

The sum up to n terms of the series $\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +$....is

• 3)

The coefficient of x5 in the series e-2x is

• 4)

The term without x in ${ \left( 2x-\frac { 1 }{ 2{ x }^{ 2 } } \right) }^{ 12 }$ is ______________

• 5)

The value of ${ 9 }^{ \frac { 1 }{ 3 } }$ ,${ 9 }^{ \frac { 1 }{ 9 } }$${ 9 }^{ \frac { 1 }{ 27}}$,$\infty$ is ______________

#### 11th Maths - Combinations and Mathematical Induction Model Question Paper - by Question Bank Software - View & Read

• 1)

In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct is

• 2)

The number of five digit telephone numbers having at least one of their digits repeated is

• 3)

There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

• 4)

Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is _________

• 5)

The product of r consecutive positive integers is divisible by _________

#### 11th Maths - Trigonometry Model Question Paper - by Question Bank Software - View & Read

• 1)

$\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } }$=

• 2)

cos1+ cos2+ cos3+: : : + cos179=

• 3)

$\frac { sin(A-B) }{ cosAcosB } +\frac { sin(B-C) }{ cosBcosC } +\frac { sin(C-A) }{ cosCcosA }$ is

• 4)

If tan A = $\frac { a }{ a+1 }$ and B = $\frac { 1 }{ 2a+1 }$ then the value of A + B is ___________

• 5)

cos p = $\frac { 1 }{ 7 }$ and cos Q = $\frac { 13 }{ 14 }$ where P, Q are angles, then P-Q is _______________

#### 11th Maths - Basic Algebra Important Questions - by Question Bank Software - View & Read

• 1)

If ${ log }_{ \sqrt { x } }$ 0.25 = 4, then the value of x is

• 2)

The value of loga b logb c logc a is

• 3)

If 8 and 2 are the roots of x2+ ax + c = 0 and 3, 3 are the roots of x+ dx + b = 0; then the roots of the equation x2+ ax + b = 0 are

• 4)

If |x + 3| ≥ 10 then ___________

• 5)

The logarithmic form of 5= 25 is ___________

#### 11th Maths - Sets, Relations and Functions Important Questions - by Question Bank Software - View & Read

• 1)

The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 3)

Let A and B be subsets of the universal set N, the set of natural numbers. Then A'∪[(A⋂B)∪B'] is

• 4)

If n(A) = 2 and n(B ∪ C) = 3, then n[(A $\times$ B) ∪ (A $\times$ C)] is

• 5)

If two sets A and B have 17 elements in common, then the number of elements common to the set A $\times$B and B $\times$A is

#### 12th Maths Half Yearly Model Question Paper 2019 - by Question Bank Software - View & Read

• 1)

The relation R defined on a set A= {0,-1, 1, 2} by xRy if |x2+y2| ≤ 2, then which one of the following is true?

• 2)

Domain of the function $y={x-1\over x+1}$ is __________

• 3)

If ${ log }_{ \sqrt { x } }$ 0.25 = 4, then the value of x is

• 4)

$\sqrt [ 4 ]{ { \left( -2 \right) }^{ 4 } } \times { \left( -1000 \right) }^{ \frac { 1 }{ 3 } }$ is ___________

• 5)

Which of the following is not true?

#### 11th Standard Maths - Term II Model Question Paper - by Shankar - Pudukkottai - View & Read

• 1)

If the function f:[-3,3]➝S defined by f(x) = x2 is onto, then S is

• 2)

Let A and B be subsets of the universal set N, the set of natural numbers. Then A'∪[(A⋂B)∪B'] is

• 3)

If 3 is the logarithm of 343, then the base is

• 4)

$\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } }$=

• 5)

In $\triangle$ABC, $\hat{C}$ = 90° then a cos A + b cos B is _______________

#### 11th Standard Maths - Introduction To Probability Theory Three Marks Questions - by Question Bank Software - View & Read

• 1)

An integer is chosen at random from the first ten positive integers. Find the probability that it is (i) an even number (ii) multiple of three.

• 2)

A die is rolled. If it shows an odd number, then find the probability of getting 5.

• 3)

Suppose a fair die is rolled. Find the probability of getting (i) an even number (ii) multiple of three.

• 4)

If A and B are two events associated with a random experiment for which P(A) = 0.35, P(A or B) = 0.85, and P(A and B) = 0.15. Find (i) P(only B) (ii) $P(\bar{B})$ (iii) P(only A)

• 5)

A die is thrown twice. Let A be the event, ‘First die shows 5’ and B be the event 'second die shows 5’. Find $P(A\cup B)$ .

#### 11th Standard Maths - Integral Calculus Three Marks Questions - by Question Bank Software - View & Read

• 1)

Evaluate $\int { \frac { { x }^{ 4 }+{ x }^{ 2 }+1 }{ { x }^{ 2 }+x-1 } }$dx

• 2)

Evaluate $\int { \frac { { sin }^{ 6 }x+cos^{ 6 }x }{ sin^{ 2 }xcos^{ 2 }x } }$

• 3)

Evaluate $\int { \frac { \left( { a }^{ x }+{ b }^{ x } \right) ^{ 2 } }{ { a }^{ x }{ b }^{ x } } }$dx

• 4)

Evaluate if f'(x) = 3x2 - $\frac { 2 }{ { x }^{ 3 } }$ and f (1) = 0, find f (x)

• 5)

Evaluate $\int { \sqrt { 1+sinx } }$ dx, 0 < x < $\frac { \pi }{ 2 }$

#### 11th Standard Maths - Differential Calculus - Differentiability and Methods of Differentiation Three Marks Questions - by Question Bank Software - View & Read

• 1)

Show that the function $f\left( x \right) =\begin{cases} x-1,\quad x<2 \\ 2x-3,\quad x\ge 2 \end{cases}$is not differentiable at x = 2.

• 2)

Show  that$f\left( x \right) ={ x }^{ 2 }$ is differentiable at x = 1 and find $f^{ ' }\left( 1 \right)$

• 3)

Differentiate $f\left( x \right) ={ e }^{ 2x }$from first principles.

• 4)

If $y=\sqrt { x+1 } +\sqrt { x-1 }$ prove that$\sqrt { { x }^{ 2 }+1 } \frac { dy }{ dx } =\frac { 1 }{ 2 } y.$

• 5)

If xy = 4, Prove that $x\left( \frac { dy }{ dx } +{ y }^{ 2 } \right) =3y.$

#### 11th Maths - Differential Calculus - Limits and Continuity Three Marks Questions - by Question Bank Software - View & Read

• 1)

Calculate $\lim _{ x\rightarrow0}{|x| }$.

• 2)

Use the graph to find the limits (if it exists). If the limit does not exist, explain why?
$lim_{x\rightarrow{1}}sin \pi x$

• 3)

The velocity in ft/sec of a falling object is modeled by $r(t)=-\sqrt{32\over k}{1-e^{2t\sqrt{32k}}\over1+e^{-2r\sqrt{32k}}}$where k is a constant that depends upon the size and shape of the object and the density of the air. Find the  limiting velocity of the object, that is, find $lim_{t\rightarrow \infty}r(t).$

• 4)

Find the left and right limits of $f(x)={x^2-4\over (x^2+4x+4)(x+3)}at \ x=-2$ .

• 5)

Evaluate the following limits $lim_{x\rightarrow\infty}{x^4-5x\over x^2-3x+1 }$

#### 11th Maths - Vector Algebra I Three Marks Questions - by Question Bank Software - View & Read

• 1)

Find the value of $\lambda$ for which the vectors $\overrightarrow{a}=3\hat{i}+2\hat{j}+9\hat{k}$ and $\overrightarrow{b}=\overrightarrow{i}+\lambda \overrightarrow{j}+3\overrightarrow{k}$ are parallel.

• 2)

Show that the following vectors are coplanar $\hat{i}$ − 2$\hat{j}$ + 3$\hat{k}$, - 2$\hat{i}$ + 3$\hat{j}$ - 4$\hat{k}$ ,-$\hat{j}$ + 2$\hat{k}$ .

• 3)

Show that the following vectors are coplanar 5$\hat{i}$ +6$\hat{j}$ +7$\hat{k}$ ,7 $\hat{i}$ -8$\hat{j}$ +9 $\hat{k}$,3$\hat{i}$+20$\hat{j}$ +5$\hat{k}$ .

• 4)

If $|\overrightarrow{a}+\overrightarrow{b}|=|\overrightarrow{a}-\overrightarrow{b}|$ prove that $\overrightarrow{a}$ and $\overrightarrow{b}$ are perpendicular.

• 5)

For any vector $\overrightarrow{r}$ prove that $\overrightarrow{r}$ = ($\overrightarrow{r}.\hat{i}$) $\hat{i}$ + ($\overrightarrow{r}.\hat{j}$) $\hat{j}$ + ($\overrightarrow{r}.\hat{k}$) $\hat{k}$.

#### 11th Maths - Matrices and Determinants Three Marks Questions - by Question Bank Software - View & Read

• 1)

Prove that $\begin{vmatrix} 1& a & a^2-bc \\1 &b &b^2-ca \\ 1 & c & c^2-ab \end{vmatrix}=0.$

• 2)

If a, b, c are pth, qth and rth terms of an A.P, find the value of $\begin{vmatrix} a & b & c \\ p & q & r \\ 1& 1 &1 \end{vmatrix}$

• 3)

Solve the following problems by using Factor Theorem :
Solve $\begin{vmatrix} x+a &b &c \\ a & x+b & c \\ a & b &x+c \end{vmatrix}=0$

• 4)

Identify the singular and non-singular matrices:$\begin{bmatrix} 1&2 &3 \\ 4 & 5 &6 \\ 7 & 8 & 9 \end{bmatrix}$

• 5)

Identify the singular and non-singular matrices:$\begin{bmatrix} 2&-3 &5 \\ 6 & 0 &4 \\ 1 & 5 & -7 \end{bmatrix}$

#### 11th Standard Maths - Introduction To Probability Theory Model Question Paper - by Shankar - Pudukkottai - View & Read

• 1)

Four persons are selected at random from a group of 3 men, 2 women, and 4 children. The probability that exactly two of them are children is

• 2)

A man has 3 fifty rupee notes, 4 hundred rupees notes, and 6 five hundred rupees notes in his pocket. If 2 notes are taken at random, what are the odds in favour of both notes being of hundred rupee denomination?

• 3)

A matrix is chosen at random from a set of all matrices of order 2, with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non zero will be

• 4)

If A and B are two events such that A ⊂ B and P(B)$\neq o$then which of the following is correct?

• 5)

A number x is chosen at random from the first 100 natural numbers. Let A be the event of numbers which satisfies${(x-10)(x-50)\over x-30}\ge0$, then P(A) is

#### 11th Standard Maths - Integral Calculus Model Question Paper - by Shankar - Pudukkottai - View & Read

• 1)

If $\int f(x) d x=g(x)+c$, then $\int f(x) g^{\prime}(x) d x$

• 2)

$\int \frac{e^{6 \log x}-e^{5 \log x}}{e^{4 \log x}-e^{3 \log x}} d x$ is

• 3)

$\int \tan ^{-1} \sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}} d x$ is

• 4)

$\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} d x$ is

• 5)

$\int \frac{x^2+\cos ^2 x}{x^2+1} \operatorname{cosec}^2 x d x$ is

#### 11th Standard Maths - Two Dimensional Analytical Geometry Three Marks Questions - by Question Bank Software - View & Read

• 1)

If the sum of the distance of a moving point in a plane from the axis is 1, then find the locus of the point.

• 2)

Find the equation of the line passing through the point (5, 2) and perpendicular to the line joining the points (2, 3) and (3, -1).

• 3)

Find the equation of the straight line which passes through the intersection of the straight lines 2x + Y= 8 and 3x - 2y + 7 = 0 and is parallel to the straight line 4x+ y-11 =0.

• 4)

Find the equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120o with the positive direction of x-axis.

• 5)

Find the equation of the line which passes through the point (- 4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5: 3 by this point.

#### 11th Standard Maths - Basic Algebra Three Marks Questions - by Question Bank Software - View & Read

• 1)

Solve the quadratic equation 52x- 5x + 3+ 125 = 5x.

• 2)

Solve $\sqrt [ 8 ]{{{x}\over{x+3}} } -\sqrt{{{x+3}\over{x}}}=2.$

• 3)

A factory kept increasing its out-put by the same percentage every year. Find the percentage, if it is known that the output has doubled in the last two years.

• 4)

Find the value of log2 $\left({{\sqrt [ 3 ]{4 } }\over{4^2\sqrt{8}}} \right).$

• 5)

Find x if ${{1}\over{2}}$ log10 $(11+4\sqrt{7})$ = log10 (2 + x).

#### 11th Maths - Trigonometry Three Marks Questions - by Question Bank Software - View & Read

• 1)

Expand cos (A + B + C). Hence prove that cos A cos B cos C = sin A sin B cos C + sin B sin C cos A + sin C sin A cos B, if A + B + C = $\frac{\pi}{2}$

• 2)

What must be the radius of a circular running path, around which an athlete must run 5 times in order to describe 1 km?

• 3)

In a circular of diameter 40 cm, a chord is of length 20 cm. FInd the length of the minor arc of the chord?

• 4)

If in two Circles, arcs of the same length subtend angles 600 and 750 at the center, find the ratio of their radii

• 5)

Prove that sin 75o - sin 15o = cos 105o + cos 15o

#### 11th Maths - Combinations and Mathematical Induction Three Marks Questions - by Question Bank Software - View & Read

• 1)

Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?

• 2)

Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4 and 5 repetitions not allowed?

• 3)

Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?

• 4)

Eighteen guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three on the other side. Determine the number of ways in which the seating arrangement can be made?

• 5)

If p(h) is the statement "n2 + n is even" and if p(r) is true, then p(r + 1) is true.

#### 11th Maths - Binomial Theorem, Sequences and Series Three Marks Questions - by Question Bank Software - View & Read

• 1)

Find $\sqrt [ 3 ]{ 1001 }$ approximately. (two decimal places).

• 2)

Prove that $\sqrt [ 3 ]{ { x }^{ 3 }+6 } -\sqrt [ 3 ]{ { x }^{ 3 }+3 }$ is approximately equal to $\frac { 1 }{ { x }^{ 2 } }$ when x is sufficiently large.

• 3)

The first term of a G.P is 1. The sum of third and fifth terms is 90. Find the common ration of the G.P

• 4)

Find all the sequence which are simultaneously arithmetic and geometric progression.

• 5)

If the mth term of a H.P is n and nth term is m, then show that its pth  term is $\frac{mn}{p}$.

#### 11th Maths - Sets, Relations and Functions Three Marks Questions - by Question Bank Software - View & Read

• 1)

Graph the function f(x) = x3 and $g(x)=\sqrt[3]x$ on the same co-ordinate plane. Find f o g and graph it on the plane as well. Explain your results.

• 2)

Write the steps to obtain the graph of the function y = 3(x-1)2+5 from the graph y = x2

• 3)

By taking suitable sets A, B, C, verify the following results:
(A$\times$ B)$\cap$(B$\times$A) = (A$\cap$B) $\times$ (B$\cap$A)

• 4)

By taking suitable sets A, B, C, verify the following results:
C-(B-A) = (C$\cap$ A) $\cup$ (C$\cap$B')

• 5)

If A$\times$ A has 16 elements, S = {(a, b) $\in$ A$\times$ A:a < b}; (−1, 2) and (0, 1) are two elements of S, then find the remaining elements of S.

#### 11th Standard Maths - Differential Calculus - Differentiability and Methods of Differentiation Model Question Paper - by Shankar - Pudukkottai - View & Read

• 1)

If $y={1\over a-z}$then ${dz\over dy}$ is

• 2)

If y = mx + c and f(0) =$f '(0)=1$then f(2) is

• 3)

${d\over dx}(e^{x+5log \ x})$ is

• 4)

$x={1-t^2\over 1+t^2},y={2t\over 1+t^2}$ then ${dy\over dx}$is

• 5)

The differential coefficient of log10 x with respect to logx10 is

#### 11th Standard Maths - Differential Calculus - Limits and Continuity Model Question Paper - by Shankar - Pudukkottai - View & Read

• 1)

$lim_{x\rightarrow\infty}{sin \ x \over x}$

• 2)

If f(x) = x(-1)$\left\lfloor 1\over x \right\rfloor$$x\le0$then the value of $lim_{x\rightarrow 0}f(x)$ is equal to

• 3)

If $lim_{x \rightarrow 0}{sin \ px\over tan \ 3x}=4$ , then the value of p is

• 4)

$lim_{x \rightarrow 0}{e^{tan \ x}-e^x\over tan x-x}=$

• 5)

The function $f(x)= \begin{cases}\frac{x^{2}-1}{x^{3}+1} & x \neq-1 \\ P & x=-1\end{cases}$is not defined for x = −1. The value of f(−1) so that the function extended by this value is continuous is

#### 11th Standard Maths - Matrices and Determinants Model Question Paper - by Shankar - Pudukkottai - View & Read

• 1)

If A = $\begin{bmatrix}\lambda & 1 \\ -1 & -\lambda \end{bmatrix}$then for what value of $\lambda$, A2 = O?

• 2)

If A is a square matrix, then which of the following is not symmetric?

• 3)

If A and B are symmetric matrices of order n, where (A $\neq$ B), then

• 4)

If the points (x,−2), (5, 2), (8, 8) are collinear, then x is equal to

• 5)

If A is skew-symmetric of order n and C is a column matrix of order n $\times$ 1, then CT AC is

#### 11th Standard Maths - Vector Algebra - I Model Question Paper - by Shankar - Pudukkottai - View & Read

• 1)

The value of $\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}$ is

• 2)

A vector $\overrightarrow{OP}$ makes 60° and 45° with the positive direction of the x and y axes respectively.  Then the angle between $\overrightarrow{OP}$and the z-axis is

• 3)

One of the diagonals of parallelogram ABCD with $\overrightarrow{a}$ and $\overrightarrow{b}$ as adjacent sides is $\overrightarrow{a}+\overrightarrow{b}$ The other diagonal $\overrightarrow{BD}$ is

• 4)

The value of  $\theta \in (0,{\pi\over 2})$ for which the vectors $\overrightarrow{a}=(sin \theta)\hat{i}+(cos\theta)\hat{j}$ and $\overrightarrow{b}=\hat{i}-\sqrt{3}\hat{j}+2\hat{k}$ are perpendicular, is equal to

• 5)

If $|\overrightarrow { a } |=|\overrightarrow { b } |$ then

#### 11th Standard Maths - Introduction To Probability Theory Two Marks Questions Paper - by Question Bank Software - View & Read

• 1)

If an experiment has exactly the three possible mutually exclusive outcomes A, B, and C, check in each case whether the assignment of probability is permissible
$P(A)=\frac { 2 }{ 5 } ,\quad P(B)=\frac { 1 }{ 5 } ,\quad P(C)=\frac { 3 }{ 5 }$

• 2)

If an experiment has exactly the three possible mutually exclusive outcomes A, B, and C, check in each case whether the assignment of probability is permissible.
P(A) = 0.421, P(B) = 0.527  P(C) = 0.042

• 3)

There are two identical urns containing respectively 6 black and 4 red balls, 2 black and 2 red balls. An urn is chosen at random and a ball is drawn from it.
(i) find the probability that the ball is black
(ii) if the ball is black, what is the probability that it is from the first urn?

• 4)

If two coins are tossed simultaneously, then find the probability of getting (i) one head and one tail (ii) at most two tails

• 5)

Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that (i) one is a mango and the other is an apple (ii) both are of the same variety.

#### 11th Maths - Integral Calculus Two Marks Questions - by Question Bank Software - View & Read

• 1)

Integrate the following with respect to x : $\frac{1}{x^{10}}$

• 2)

Integrate the following with respect to x : $\sqrt{x}$

• 3)

IIntegrate the following with respect to x : ${cot \ x \over sin \ x}$

• 4)

Integrate the following with respect to x :${1\over x^3}$

• 5)

Evaluate the following with respect to x : $\int{\sqrt{(15-2x)}}dx$

#### 11th Maths - Differential Calculus - Differentiability and Methods of Differentiation Two Marks Questions - by Question Bank Software - View & Read

• 1)

Differentiate the following with respect to x : $y=(x-{1\over x})^2$

• 2)

Differentiate the following with respect to x : y = xex log x

• 3)

Find the derivatives of the following functions with respect to corresponding independent variables: y = sin x + cos x

• 4)

Differentiate the following: y = cos (tan x)

• 5)

Differentiate the following: $f(t)=\sqrt[3]{1+\tan t}$

#### 11th Maths - Differential Calculus - Limits and Continuity Two Marks Questions - by Question Bank Software - View & Read

• 1)

In problem, using the table estimate the value of the limit
$lim_{x\rightarrow{0}}{\sqrt{x+3}-\sqrt{3}\over x}$

 x -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x) 0.2911 0.2891 0.2886 0.2886 0.2885 0.28631
• 2)

In problem, using the table estimate the value of the limit
$lim_{x\rightarrow 0}{sin x\over x}$

 x -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x) 0.99833 0.99998 0.99999 0.99999 0.99998 0.99833
• 3)

Compute $lim_{x\rightarrow8}(5x)$

• 4)

Compute$lim_{x\rightarrow-2}(-{3\over 2}x)$

• 5)

Find the positive integer n so that $lim_{x\rightarrow 3}{x^n-3^n\over x-3}=27$

### TN Stateboard Education Study Materials

#### 11th Maths Chapter 6 Two Dimensional Analytical Geometry One Mark - by Question Bank Software Sep 24, 2019 Sep 24, 2019

Two Dimensional Analytical Geometry One Mark

#### 11th Maths Chapter 5 Binomial Theorem Sequences And Series One Mark - by Question Bank Software Sep 24, 2019 Sep 24, 2019

Binomial Theorem Sequences And Series One Mark

#### 11th Maths Chapter 4 Combinations And Mathematical Induction One Mark - by Question Bank Software Sep 24, 2019 Sep 24, 2019

Chapter 4 Combinations And Mathematical Induction One Mark

#### 11th Maths Chapter 3 Trigonometry One Mark - by Question Bank Software Sep 24, 2019 Sep 24, 2019

Chapter 3 Trigonometry One Mark

#### 11th Maths Chapter 2 Basic Algebra One Mark - by Question Bank Software Sep 24, 2019 Sep 24, 2019

Basic Algebra One Mark

#### 11th Maths Chapter 1 Sets Relations And Functions One Mark - by Question Bank Software Sep 23, 2019 Sep 23, 2019

Sets Relations And Functions One Mark

### TN Stateboard Updated Class 11th Maths Syllabus

#### Sets, Relations and Functions

Introduction-Sets-Cartesian Product-Constants and Variables, Intervals and Neighborhoods-Relations-Functions-Graphing Functions Using Transformations

#### Basic Algebra

Introduction-Real Number System-Absolute Value-Linear Inequalities-Quadratic Functions-Polynomial Functions-Rational Functions-Exponents and Radicals-Logarithm-Application of Algebra in Real Life

#### Trigonometry

Introduction-A Recall of Basic Results-Radian Measure-Trigonometric Functions and Their Properties-Trigonometric Identities-Trigonometric Equations-Properties of Triangle-Application to Triangle-Inverse Trigonometric Functions

#### Combinations and Mathematical Induction

Introduction-Fundamental Principles of Counting-Factorials-Permutations-Combinations-Mathematical Induction

#### Binomial Theorem, Sequences and Series

Introduction-Binomial Theorem-Particular Cases of Binomial Theorem-Finite Sequences-Finite Series-Infinite Sequences and Series

#### Two Dimensional Analytical Geometry

Introduction-Locus of a Point-Straight Lines-Angle between Two Straight Lines-Pair of Straight Lines

#### TN StateboardStudy Material - Sample Question Papers with Solutions for Class 11 Session 2020 - 2021

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