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Jee Main 2025 — Medium JEE math MCQ

The sum of all values of \( \theta \in [0, 2\pi] \) satisfying \( 2\sin^2 \theta = \cos 2\theta \) and \( 2\cos^2 \theta = 3\sin \theta \) is
  1. A. \( 4\pi \)
  2. B. \( \frac{5\pi}{6} \)
  3. C. \( \pi \)
  4. D. \( \frac{\pi}{2} \)

Solution

The correct option is **C**. (C. \( \pi \))

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
The sum of all values of θ∈[0,2π] \theta \in [0, 2\pi] satisfying 2sin⁡2θ=cos⁡2θ 2\sin^2 \theta = \cos 2\theta and 2cos⁡2θ=3sin⁡θ 2\cos^2 \theta = 3\sin \theta is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep