Statement-I : In the interval [0,2 \pi], the number of common solutions of the equations 2 \sin ^2 \theta-\cos 2 \theta=0 and 2 \cos ^2 \theta-3 \sin \theta=0 is two. Statement-II : The number of solutions of 2 \cos ^2 \theta-3 \sin \theta=0 in [0, \pi] is two. [AP EAPCET 27 May 2025 S1]

Correct Answer is : Statement-I and Statement-II are both true

Statement-I and Statement-II are both true

Statement-I is true, Statement-II is false

Statement-I is false, Statement-II is true

Statement-I and Statement-II are both false

AP EAPCET 27 May 2025 Shift 1 Paper

Section: Mathematics

Question : 23 of 160

Marks: +1, -0

Statement-I : In the interval [0,2π], the number of common solutions of the equations 2sin‌2θ−cos‌2‌θ=0 and 2cos2θ−3sin‌θ=0 is two.
Statement-II : The number of solutions of 2cos2θ−3sin‌θ=0 in [0,π] is two.

[AP EAPCET 27 May 2025 S1]

Statement-I and Statement-II are both true
Statement-I is true, Statement-II is false
Statement-I is false, Statement-II is true
Statement-I and Statement-II are both false

Validate

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