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

11th Standard

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Maths

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

10 x 1 = 10
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

(a)

an odd function

(b)

neither an odd function nor an even function

(c)

an even function

(d)

both odd function and even function.

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 ___________

(a)

-2

(b)

-1

(c)

0

(d)

1

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

(a)

0o

(b)

(c)

10°

(d)

15°

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

(a)

$\pi$

(b)

$\frac{\pi}{2}$

(c)

0

(d)

$\frac{\pi}{4}$

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

(a)

2- n - 1

(b)

1 - 2-n

(c)

2-n + n - 1

(d)

2n-1

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

(a)

$\frac { 1 }{ 2 }$

(b)

$\frac { 3 }{ 8 }$

(c)

$\frac { -3 }{ 8 }$

(d)

$\frac {- 1 }{ 2 }$

7. The value of m for which the vectors $3\hat { i } -6\hat { j } +\hat { k }$ and $2\hat { i } -4\hat { j } +\lambda \hat { k }$ are parallel is __________ .

(a)

$\frac { 2 }{ 3 }$

(b)

$\frac { 3 }{ 2 }$

(c)

$\frac { 5 }{ 2 }$

(d)

$\frac { 2 }{ 5 }$

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

(a)

$1\over 2$

(b)

0

(c)

1

(d)

$\infty$

9. If pv = 81,then ${dp\over dv}$ at v = 9 is _____

(a)

1

(b)

-1

(c)

2

(d)

-2

10. Choose the correct or the most suitable answer from given four alternatives.
$\int \frac{\sec ^2 x}{\tan ^2 x-1} d x$ is _______

(a)

$2log|{1-tan x\over 1+tan \ x}|+c$

(b)

$log|{1+tan x\over 1-tan \ x}|+c$

(c)

${1\over2}log|{tan x+1\over tan \ x-1}|+c$

(d)

${1\over2}log|{tan x-1\over tan \ x+1}|+c$