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Saturday, 31 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2024, Shift 1, Maths Q20

Question 20 of 90 in this shift, Maths question 20 of 30, Section A.

Suppose θ∈[0,π4]\theta\in\left[0,\frac{\pi}{4}\right] is a solution of 4cos⁡θ−3sin⁡θ=14\cos\theta-3\sin\theta=1. Then cos⁡θ\cos\theta is equal to :
  1. (1)6−6(36−2)\frac{6-\sqrt6}{(3\sqrt6-2)}
  2. (2)4(36−2)\frac{4}{(3\sqrt6-2)}Official answer
  3. (3)4(36+2)\frac{4}{(3\sqrt6+2)}
  4. (4)6+6(36+2)\frac{6+\sqrt6}{(3\sqrt6+2)}

Official answer

Option 2

NTA final key.

Chapter
Trigonometric Functions
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 108 of the 174 JEE Main shifts held from 2017 to 2026.