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

11th Standard

Reg.No. :
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Maths

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

10 x 1 = 10
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

(a)

{1,4,6,9}

(b)

{4,6,9}

(c)

{1}

(d)

None of these

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

(a)

0.5

(b)

2.5

(c)

1.5

(d)

1.25

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

(a)

Both A and (R) 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

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

(a)

$\sqrt { 2n+1 }$

(b)

$\frac { \sqrt { 2n+1 } }{ 2 }$

(c)

$\sqrt { 2n+1 } -1$

(d)

$\frac { \sqrt { 2n+1 } -1 }{ 2 }$

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

(a)

2nCn

(b)

(-1)n2nCn

(c)

(-1)n2nCn-1

(d)

(-1)n/2nCn/2

6. The direction cosines of the vector $2\hat{i}+2\hat{j}-\hat{k}$are

(a)

$\frac { 2 }{ 3 } ,\frac { 2 }{ 3 } ,-\frac { 1 }{ 3 }$

(b)

$\frac { 2 }{ 3 } ,\frac { 2 }{ 3 } ,\frac { 1 }{ 3 }$

(c)

$-\frac { 2 }{ 3 } ,-\frac { 2 }{ 3 } ,\frac { 1 }{ 3 }$

(d)

$-\frac { 2 }{ 3 } ,-\frac { 2 }{ 3 } ,-\frac { 1 }{ 3 }$

7. Find the odd one out of the following

(a)

$\hat { i } +2\hat { j } +3\hat { k }$

(b)

$2\hat { i } +4\hat { j } +6\hat { k }$

(c)

$7\hat { i } +14\hat { j } +21\hat { k }$

(d)

$\hat { i } +3\hat { j } +2\hat { k }$

8. Choose the correct or the most suitable answer from the given four alternatives.
$If\quad x=a(\theta +\sin { \theta ),y=a(1+\cos { \theta } ) } then\quad \frac { dy }{ dx }$ is

(a)

$\tan { \frac { \theta }{ 2 } }$

(b)

$-\tan { \frac { \theta }{ 2 } }$

(c)

$\cot { \frac { \theta }{ 2 } }$

(d)

$-\cot { \frac { \theta }{ 2 } }$

9. $\int { sin }$ex . d (ex) = ________+c.

(a)

cos (ex)

(b)

sin(ex)

(c)

- cos (ex)

(d)

-sin(ex)

10. Choose the incorrect pair:

(a)

A and B disjoint - P(A⋂B) = peA) + PCB

(b)

A and B independent - P(A⋂B) = p(A) P(B)

(c)

A and B disjoint - P(A⋂B) = 0

(d)

A and B independent - P(A/B) = P(B/A)