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10th Maths chp 1,2,8 live

Total questions: 14

Worksheet time: 18mins

Name
Class
Date
1.

Find value of

 3sin30°  4sin3 30°3\sin30\degree\ -\ 4\sin^3\ 30\degree  

a)

0

b)

 12\frac{1}{2}  

c)

1

d)

2

2.

If

 tan θ = ab\tan\ \theta\ =\ \frac{a}{b}  than find value of  secθ\sec\theta  

a)

 b2+a2b\frac{\sqrt{b^2+a^2}}{b}  

b)

 ba\frac{b}{a}  

c)

 bb2+a2\frac{b}{\sqrt{b^2+a^2}}  

d)

none of these 

3.

If x tan45° cos60° = sin60°cot60°x\ \tan45\degree\ \cos60\degree\ =\ \sin60\degree\cot60\degree  , then find value of x


a)

2

b)

3

c)

4

d)

1

4.

Given that , sin α= 12and cos β = 12\sin\ \alpha=\ \frac{1}{2}and\ \cos\ \beta\ =\ \frac{1}{2}  , what is the value of  (α+β)\left(\alpha+\beta\right)  ?


a)

 0°0\degree  

b)

 30°30\degree   

c)

 60°60\degree  

d)

 90°90\degree  

5.

If cos A + cos2A = 1, then find value of sin2 A + sin4 A 😌

a)

1

b)

2

c)

3

d)

4

6.

If sin(A+B) = 1 and cos (A - B) =  \frac{\sqrt{3}}{2}  , then find values of A and B

a)

 A = 60° and B = 30°A\ =\ 60\degree\ and\ B\ =\ 30\degree  

b)

 A = 30° and B = 60°A\ =\ 30\degree\ and\ B\ =\ 60\degree  

c)

 A = 45° and B = 60°A\ =\ 45\degree\ and\ B\ =\ 60\degree  

d)

none of these 

7.

In figure, the value of  \cos\phi  is 

a)

 54\frac{5}{4}  

b)

 53\frac{5}{3}  

c)

 35\frac{3}{5}  

d)

 45\frac{4}{5}  

8.

If a digit is chosen at random from the digits, 1,2,3,4,5,6,7,8,9, then the probability that it is odd, is

a)

49\frac{4}{9}

b)

59\frac{5}{9}

c)

19\frac{1}{9}

d)

23\frac{2}{3}

9.

If one zero of polynomial f9x) = (k2 +4) x2 + 13x + 4k is reciprocal of the each other, then k =

a)

2

b)

-2

c)

1

d)

-1

10.

The HCF and LCM of two rational numbers are equal, then numbers must be

a)

prime

b)

co-prime

c)

composite

d)

equal

11.

 3.273.\overline{27}  is 

a)

an integer

b)

a rational number

c)

a natural number

d)

an irrational number

12.

If  \theta  is an acute angle and  tanθ + cot θ = 2,\tan\theta\ +\ \cot\ \theta\ =\ 2,  find value of  tan7θ + cot7θ\tan^7\theta\ +\ \cot^7\theta  

a)

1

b)

2

c)

3

d)

4

13.

If  \theta  is an acute angle and  sinθ = cosθ\sin\theta\ =\ \cos\theta  , find the value of  2tan2θ + sin2θ  12\tan^2\theta\ +\ \sin^2\theta\ -\ 1   

a)

 32\frac{3}{2}  

b)

 23\frac{2}{3}  

c)

 13\frac{1}{3}  

d)

3

14.

Find value of x:  \sqrt{3}\sin x\ =\ \cos\ x  

a)

 30°30\degree  

b)

 60°60\degree  

c)

 45°45\degree  

d)

 90°90\degree