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Worksheets

ITF QUIZ

Total questions: 14

Worksheet time: 9mins

Name
Class
Date
1.
a)

D

b)

B

c)

C

d)

A

2.
a)

B

b)

C

c)

A

d)

D

3.
a)

±12\pm\frac{1}{\sqrt[]{2}}   

b)

±15\pm\frac{1}{\sqrt[]{5}}  

c)

±13\pm\frac{1}{\sqrt[]{3}}  

d)

None

4.

if x ,y,z are in A.P and tan1x , tan1y ,tan1z\tan^{-1}x\ ,\ \tan^{-1}y\ ,\tan^{-1}z   are also in AP then

a)

x=1,y=1,z=6

b)

x=y=z

c)

x=y=-z

d)

x=2,y=4,z=6

5.
a)

0

b)

-1

c)

1

d)

2

6.
a)

B

b)

A

c)

C

d)

D

7.

If tan1x=π10,\tan^{-1}x=\frac{\pi}{10},  then value of  cot1x\cot^{-1}x  is

a)

π5\frac{\pi}{5}  

b)

2π5\frac{2\pi}{5}  

c)

3π5\frac{3\pi}{5}  

d)

4π5\frac{4\pi}{5}  

8.

If sin1x+sin1y=π2\sin^{-1}x+\sin^{-1}y=\frac{\pi}{2} , then the value of  cos1x+cos1y=\cos^{-1}x+\cos^{-1}y=   

a)

π2\frac{\pi}{2}  

b)

π\pi  

c)

00  

d)

2π3\frac{2\pi}{3}  

9.

The equation tan1xcot1x=tan1(13)\tan^{-1}x-\cot^{-1}x=\tan^{-1}\left(\frac{1}{\sqrt{3}}\right) has 

a)

no solution

b)

unique solution

c)

infinite number of solutions

d)

two solutions

10.

The value of  tan2(sec12)+cot2(cosec13)\tan^2\left(\sec^{-1}2\right)+\cot^2\left(\operatorname{cosec}^{-1}3\right)  is

a)

5

b)

11

c)

13

d)

15

11.
cos-1(0) = 
a)
π/2
b)
π
c)
1
d)
none of these
12.
a)

B

b)

C

c)

A

d)

D

13.
a)

(2)

b)

(1)

c)

(4)

d)

(3)

14.
a)

( 0,π20,\frac{\pi}{2}  ]

b)

( 0,π0,\pi  ]

c)

[0, cos1(34)]\left[0,\ \cos^{-1}\left(\frac{3}{4}\right)\right]  

d)

None