11th Standard Syllabus & Materials

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Tamilnadu 11th Standard Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365

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Tamilnadu 11th Standard Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365

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Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set B

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Four

Published on: 11/11/2020

Download Tamil Nadu 11th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.

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Std: 11th Standard - Maths

chapter: - Model Question paper

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Questions:

Multiple Choice Question

10 x 1 = 10

\(\lim _{ x\rightarrow \infty }{ \left( \frac { 1 }{ x } +2 \right) } \)is equal to

(a)

\(\infty \)

(b)

(c)

(d)

Choose the correct or the most suitable answer from the given four alternatives.
If \(y=\log \left(\frac{1-x^2}{1+x^2}\right)\) then \(\frac{dy}{dx}\) is ______

(a)

\(\frac { 4{ x }^{ 3 } }{ 1-{ x }^{ 4 } } \)

(b)

\(-\frac { 4x }{ 1-{ x }^{ 4 } } \)

(c)

\(\frac { 1 }{ 4-{ x }^{ 4 } } \)

(d)

\(\frac { -4{ x }^{ 3 } }{ 1-{ x }^{ 4 } } \)

If \(\left( \begin{matrix} 2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3 \end{matrix} \right) \) is a singular matrix, then \(\lambda \) is_____________

(a)

\(\lambda \)=2

(b)

\(\lambda \)≠2

(c)

\(\lambda =\frac { -8 }{ 5 } \)

(d)

\(\lambda \neq \frac { -8 }{ 5 } \)

Two vertices of a triangle have position vectors \(3\hat{i}+4\hat{j}-4\hat{k}\) and \(2\hat{i}+3\hat{j}+4\hat{k}\) . If the position vector of the centroid is \(\hat{i}+2\hat{j}+3\hat{k}\), then the position vector of the third vertex is

(a)

\(-2\hat{i}-\hat{j}+9\hat{k}\)

(b)

\(-2\hat{i}-\hat{j}-6\hat{k}\)

(c)

\(2\hat{i}-\hat{j}+6\hat{k}\)

(d)

\(-2\hat{i}+\hat{j}+6\hat{k}\)

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 _______________

(a)

\(\frac{a}{b}\)

(b)

\(\frac{b}{a}\)

(c)

\(\frac{c}{a}\)

(d)

\(\frac{c}{b}\)

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

(a)

p,q,r are inA.P

(b)

p²,q²,r² are inA.P

(c)

\(\frac{1}{p},\frac{1}{q},\frac{1}{r}\)

(d)

p,q,r are in H.P.

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

(a)

(b)

(c)

(d)

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

(a)

2b² = 9ac

(b)

b²= ac

(c)

b² = 4ac

(d)

9b² = 2ac

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

(a)

x + y + 2 = 0

(b)

x + y - 2 = 0

(c)

\(x+y-\sqrt{2}=0\)

(d)

\(x+y+\sqrt{2}=0\)

10.

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

(a)

[0, 1]

(b)

[0, ∞)

(c)

[0, 1)

(d)

(0, 1)

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(d)
2

(b)
\(-\frac { 4x }{ 1-{ x }^{ 4 } } \)

\(\left(\frac{3+2+x_{1}}{3},\right. \left.\frac{4+3+x_{2}}{3}, \frac{-4+4+x_{3}}{3}\right)=(1,2,3) \)
\(3+2+x_{1} =3 ; 4+3+x_{2}=6 ;-4+4+x_{3}=9 \)
\(5+x_{1}=3 7+x_{2}=6 \)
\(x_{1}=-2 \quad x_{2}=-1 \)
\(\therefore \text { Third vertex is }(-2,-1,9)\)

(b)
\(\frac{b}{a}\)

(b)
p²,q²,r² are inA.P

(d)
11

(a)
2b² = 9ac

\(\text {Perimeter }=4+2 \sqrt{2}\)
\(a+a+\sqrt{2} =4+2 \sqrt{2} \)
\(2 a+\sqrt{2} a =4+2 \sqrt{2} \)
\(\therefore a =2 \)
\(\text {Equation of line is } \frac{x}{2}+\frac{y}{2}=1\)
\(x+y-2=0\)

10.

\(\mathrm{f}(x)=\left\lfloor\begin{array}{lll} x & -x \mid, \mathrm{f}(x) \end{array}=\left\lfloor\begin{array}{ll} x & -x \end{array}\right.\right.\)
\(f(0) =0-0=0 \)
\(f(6.5) =6-6.5=|-0.5|=0.5 \)
\(f(-7.2) =8-7.2=0.8 \)
\(\therefore \text { Range is }[0,1)\)