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

11th Standard

Reg.No. :
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Maths

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

10 x 1 = 10
1. The range of the function ${1\over 1-2sinx}$ is

(a)

$(-∞,-1)\cup\left( {1\over 3},\infty\right)$

(b)

$\left( -1,{1\over 3}\right)$

(c)

$\left[ -1,{1\over 3}\right]$

(d)

$(-∞,-1]\cup [\frac { 1 }{ 3 } ,∞)$

2. cosp=$\frac { 1 }{ 7 }$ and cosQ=$\frac { 13 }{ 14 }$ where P,Q are angles, then P-Q is

(a)

$\frac { \pi }{ 6 }$

(b)

$\frac { \pi }{ 3 }$

(c)

$\frac { \pi }{ 4 }$

(d)

$\frac { 5\pi }{ 12 }$

3. The coefficient of a5 in the expansion of (3a + 5b)5 is

(a)

1

(b)

243

(c)

6750

(d)

9375

4. If(1, 3) (2,1) (9, 4) are collinear then a is:

(a)

$\frac{1}{2}$

(b)

2

(c)

0

(d)

-$\frac{1}{2}$

5. The function $f\left( x \right) =\tan { x }$ is discontinuous on the set

(a)

$\left\{ n\pi :\quad n\in z \right\}$

(b)

$\left\{ 2n\pi :\quad n\in z \right\}$

(c)

$\left\{ (2n+1)\frac { \pi }{ 2 } ,\quad n\in z \right\}$

(d)

$\left\{ n\frac { \pi }{ 2 } ,\quad n\in z \right\}$

6. The rate of change of area A of a circle of radius r is

(a)

$2\pi r$

(b)

$2\pi r\frac { dr }{ dt }$

(c)

$\pi { r }^{ 2 }\frac { dr }{ dt }$

(d)

$\pi \frac { dr }{ dt }$

7. If f(x) = x2 - 3x, then the points at which f(x) = f '(x) are

(a)

both positive integers

(b)

both negative integers

(c)

both irrational

(d)

one rational and another irrational

8. If f(x) = x + 2, then f '(f(x)) at x = 4 is

(a)

8

(b)

1

(c)

4

(d)

5

9. Choose the correct or the most suitable answer from the given four alternatives.
If f(x) is an odd function, then  f'(x) is an ______ function

(a)

even

(b)

odd

(c)

even or odd

(d)

neither even nor odd

10. $\int{ {e^x}(x^2 \ tan^{-1}x+tan^{-1}x+1)\over x^2+1}dx$ is

(a)

ex tan-1(x+1)+c

(b)

tan-1(ex)+c

(c)

$e^x{(tan^{-1}x)^2\over 2}+c$

(d)

ex tan-1 x+c