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

11th Standard

Reg.No. :
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Maths

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

10 x 1 = 10
1. The number of relations from a set containing 4 elements to a set containing 3 elements is:

(a)

216

(b)

25

(c)

27

(d)

212

2. $(\sqrt { 5 } -2)(\sqrt { 5 } +2)$ is equal to

(a)

1

(b)

3

(c)

23

(d)

21

3. 2 sin 5x cos x

(a)

sin 6x+cos 4x

(b)

sin6x+sin4x

(c)

cos6x+sin4x

(d)

cos6x+cos4x

4. If 15C3r=15 Cr+3 , then r is equal to

(a)

5

(b)

4

(c)

3

(d)

2

5. If $\Sigma n=210$ then $\Sigma { n }^{ 2 }$=

(a)

2870

(b)

2160

(c)

2970

(d)

none of these

6. The equation x2+kxy+y2-5x-7y+6=0 represents a pair of straight lines then k=

(a)

$\frac{5}{3}$

(b)

$\frac{10}{3}$

(c)

$\frac{3}{2}$

(d)

$\frac{3}{10}$

7. 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

8. Choose the correct or the most suitable answer from the given four alternatives.
If, $y=a+b{ x }^{ 2 }$ where a, b are arbitrary constants, then

(a)

$\frac { d^{ 2 }y }{ d{ x }^{ 2 } } =2xy$

(b)

$x\frac { d^{ 2 }y }{ d{ x }^{ 2 } } ={ y }_{ 1 }$

(c)

$x\frac { d^{ 2 }y }{ d{ x }^{ 2 } } -\frac { dy }{ dx } +y=0$

(d)

$x\frac { d^{ 2 }y }{ d{ x }^{ 2 } } =2xy$

9. $\int { \frac { 4\left( sin^{ -1 }x \right) ^{ 3 } }{ \sqrt { 1-{ x }^{ 2 } } } }$ dx = ________+c.

(a)

log (sin -1x)

(b)

(sin -1 x)4

(c)

4 (sin-1 x)4

(d)

$\frac { \left( { sin }^{ -1 }x \right) ^{ 4 } }{ 4 }$

10. Choose the incorrect pair :

(a)

P(A) + P (B) -2P(A∩B) - Exactly one of them occur

(b)

P(A∩B) - Simultaneous occurrence of A and B

(c)

peA) + P (B) - P(A∩B) - Occurrence of either A or B or both

(d)

1 - P(A∪B) - Occurrence of only A