Home
Class 12
MATHS
The number of solution of the pair of eq...

The number of solution of the pair of equations `2sin^2theta-cos2theta=0a n d2cos^2theta=0` in the interval `[0,2pi]` is 0 (b) 1 (c) 2 (d) 4

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
c
` 2 sin ^(2) theta - cos 2 theta = 0 `
` rArr sin ^(2) theta = (1)/(4)`
Also, ` 2 cos ^(2) theta = 3sin theta `
` therefore sin theta = (1)/(2)" " [because sin theta + 2 ne 0 ]`
` rArr ` Two solutions exist in the interval `[0, 2 pi]`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of solution of the pair of equations 2sin^2theta-cos2theta=0a n d 2cos^2theta-3sintheta=0 in the interval [0,2pi] is 0 (b) 1 (c) 2 (d) 4

The number of solutions of the pair of equations 2sin^2 theta - cos(2 theta)=0,2cos^2 theta-3sin theta=0 in the interval [0,2pi] is

Solve 3sin^2 theta -cos^2 theta=0

The number of solutions of the equation sin 2 theta-2 cos theta +4 sin theta=4 in [0, 5pi] is equal to

Solve sin 2 theta+cos theta=0 .

The number of solution satisfying the equations tan 4theta=cot 5theta and sin 2theta=cos theta in [0,2pi] is

The number of solution the equation cos(theta).cos(pitheta)=1 has 0 (b) 1 (c) 4 (d) 2

Solve the equations: sin 2theta - cos 2 theta - sin theta + cos theta = 0

The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxcos^3x=1 in the interval [0,2pi] is/are 0 (b) 2 (c) 3 (d) infinite