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

11th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. If A = {(x,y) : y = sin x, x ∈ R} and B = {(x,y) : y = cos x, x ∈ R} then A∩B contains

(a)

no element

(b)

infinitely many elements

(c)

only one element

(d)

cannot be determined

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?

(a)

T is an equivalence relation but S is not an equivalence relation

(b)

Neither S nor T is an equivalence relation

(c)

Both S and T are equivalence relation

(d)

S is an equivalence relation but T is not an equivalence relation.

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

(a)

1R

(b)

Q

(c)

R-(-1)

(d)

R-1

4. The number of solution of x2+|x-1|=1 is

(a)

1

(b)

0

(c)

2

(d)

3

5. Choose the incorrect statement

(a)

Matrix multiplication is non commutative

(b)

(c)

Singular matrices have inverse

(d)

Non singular matrices have inverse

6. A function f(x) is said to be continuous at x=a if  $\lim _{ x\rightarrow a }{ f\left( x \right) }$is equal to

(a)

$f\left( a \right)$

(b)

$f\left( -a \right)$

(c)

$2f\left( a \right)$

(d)

$f\left( \frac { 1 }{ a } \right)$

7. Choose the correct or the most suitable answer from the given four alternatives.
If f(x) is an even functions, thenf'(x) is an ______function

(a)

even

(b)

odd

(c)

even and odd

(d)

even or odd

8. Assertion (A):f (x) =$\begin{cases} \begin{matrix} x+1, & x<2 \end{matrix} \\ \begin{matrix} 2x-1, & x\ge 2 \end{matrix} \end{cases}$ then f'(2) does not exist.
Reason (R) :f(x) is not continuous at 2.

(a)

Both A and it are true and R is the correct explanation of A

(b)

Both A and R are true but R is not the correct explantion of A

(c)

A is true R is false

(d)

A is false R is true

9. $\int tan^{-1}\sqrt{1-cos \ 2x\over 1+cos \ 2x}dx$ is

(a)

x2+c

(b)

2x2+c

(c)

${x^2\over2}+c$

(d)

$-{x^2\over2}+c$

10. $\int { \frac { { 4x }^{ 3 }+1 }{ { x }^{ 4 }+x } }$ dx = __________ + c.

(a)

log (4x3  +1)

(b)

log (x4 + x)

(c)

log (4x3)

(d)

$\frac { 1 }{ log({ x }^{ 4 }) }$