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

11th Standard

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Maths

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

Answer all the questions

10 x 1 = 10
1. The value of a when x3-2x2+3x+a is divided by (x - 1), the remainder is 1, is:

(a)

-1

(b)

1

(c)

2

(d)

-2

2. If nCr-1 = 36, nCr = 84 and nCr+1 = 126 then r =

(a)

2

(b)

2

(c)

3

(d)

4

3. 21/4 41/8 81/16 161/32 . . . =

(a)

1

(b)

2

(c)

$\frac{3}{2}$

(d)

$\frac{5}{2}$

4. If the co-ordinates of a variable point p be $(t+\frac{1}{t},t-\frac{1}{t})$where t is the parameter then the locus of p

(a)

xy=1

(b)

x2+y2=4

(c)

x2-y2=4

(d)

x2-y2=8

5. If A is a matrix 3 x 3, then ${ { (A }^{ 2 }) }^{ -1 }$=

(a)

$\frac { 1 }{ { A }^{ 2 } }$

(b)

A-2

(c)

${ { (A }^{ -1 }) }^{ 2 }$

(d)

I

6. 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)

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

7. $\lim _{ x\rightarrow \frac { \pi }{ 2 } }{ \frac { \sin { x } }{ x } } =$

(a)

$\pi$

(b)

$\frac { \pi }{ 2 }$

(c)

$\frac { 2 }{ \pi }$

(d)

1

8. The slope of the graph of $f\left( x \right) =\frac { \left| x \right| }{ x } ,x>0\quad is$

(a)

1

(b)

0

(c)

-1

(d)

undefined

9. Choose the correct or the most suitable answer from the given four alternatives.
$If\sin { (x+y)= } \log { (x+y) }$ then $\frac { dy }{ dx }$ is

(a)

2

(b)

-2

(c)

1

(d)

-1

10. 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