#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Seven

11th Standard

Reg.No. :
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Maths

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

Answer all the questions

10 x 1 = 10
1. If A = {(x,y) : y = ex, x∈R} and B = {(x,y) : y=e-x, x ∈ R} then n(A∩B) is

(a)

Infinity

(b)

0

(c)

1

(d)

2

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

(a)

0

(b)

1

(c)

2

(d)

none of these

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

(a)

2

(b)

3

(c)

4

(d)

5

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

(a)

2

(b)

-2

(c)

4

(d)

-4

5. cos6x-cos8x=

(a)

2 sin 7x sinx

(b)

sin 7x sinx

(c)

$\frac { 1 }{ 2 }$sin7x+sinx

(d)

$\sqrt { 2 }$ sin7x sinx

6. If sinθ=sin$\alpha$, then the angles θ and $\alpha$ are related by

(a)

$\theta=n\pi\pm\alpha$

(b)

$\theta=2n\pi+(-1)^n\alpha$

(c)

$\alpha=n\pi\pm(-1)^n\theta$

(d)

$\theta=(2n+1)\pi+\alpha$

7. 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 is

(a)

9

(b)

8

(c)

7

(d)

6

8. $\int{x^2+cos^2x\over x^2+1}cosec^2xdx$ is

(a)

cot x+sin -1x+c

(b)

-cot x+tan-1x+c

(c)

-tan x+cot-1x+c

(d)

-cot x-tan-1x+c

9. $\int x^2e^{x\over2}dx$ is

(a)

$x^2e^{x\over2}-4xe^{x\over2}-8e^{x\over2}+c$

(b)

$2x^2e^{x\over2}-8xe^{x\over2}-16e^{x\over2}+c$

(c)

$2x^2e^{x\over2}-8xe^{x\over2}+16e^{x\over2}+c$

(d)

$x^2{e^{x\over2}\over 2}-{xe^{x\over2}\over 4}+{e^{x\over2}\over 8}+c$

10. If a and b are chosen randomly from the set {1,2,3,4} with replacement, then the probability of the real roots of the equation $x^2+ax+b=0$ is

(a)

${3\over 16}$

(b)

${5\over 16}$

(c)

${7\over 16}$

(d)

${11\over 16}$