# Statement-1: The number of common solutions of the trigonometric equations 2 sin2q – cos 2q = 0 and 2 cos2 q – 3 sin q = 0 in the interval [0, 2p] is two. Statement-2: The number of solutions of the equation, 2 cos2 q – 3 sin q = 0 in the interval [0, p] is two.

Question:

Statement-1: The number of common solutions of the trigonometric equations $2 \sin ^{2} \theta-\cos 2 \theta=0$ and $2 \cos ^{2} \theta-3 \sin \theta=0$ in the interval $[0,2 \pi]$ is two.

Statement-2: The number of solutions of the equation, 2 $\cos ^{2} \theta-3 \sin \theta=0$ in the interval $[0, \pi]$ is two.

1. Statement-1 is true; Statement- 2 is true; Statement- 2 is a correct explanation for statement-1.

2. Statement-1 is true; Statement- 2 is true; Statement- 2 is not a correct explanation for statement- 1 .

3. Statement-1 is false; Statement- 2 is true.

4. Statement- 1 is true; Statement- 2 is false.

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year Online April 22, 2013

Solution:

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