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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 18 March 2021, Shift 1, Maths Q79

Question 79 of 90 in this shift, Maths question 19 of 30, Section A.

The solutions of the equation ∣1+sin⁡2xsin⁡2xsin⁡2xcos⁡2x1+cos⁡2xcos⁡2x4sin⁡2x4sin⁡2x1+4sin⁡2x∣=0\begin{vmatrix}1+\sin^2x & \sin^2x & \sin^2x\\ \cos^2x & 1+\cos^2x & \cos^2x\\ 4\sin2x & 4\sin2x & 1+4\sin2x\end{vmatrix}=0, (0<x<π)(0<x<\pi), are :
  1. (1)π6,5π6\frac{\pi}{6},\frac{5\pi}{6}
  2. (2)5π12,7π12\frac{5\pi}{12},\frac{7\pi}{12}
  3. (3)7π12,11π12\frac{7\pi}{12},\frac{11\pi}{12}Official answer
  4. (4)π12,π6\frac{\pi}{12},\frac{\pi}{6}

Official answer

Option 3

NTA final key.

Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.