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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 18 March 2021, Shift 2, Maths Q61

Question 61 of 90 in this shift, Maths question 1 of 30, Section A.

If

15\sin^4\alpha + 10\cos^4\alpha = 6

, for some

\alpha\in\mathbb{R}

, then the value of

27\sec^6\alpha + 8\mathrm{cosec}^6\alpha

is equal to :

(1) $500$
(2) $400$
(3) $350$
(4) $250$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Trigonometric Functions
Topic: Trigonometric Identities
Idea tested: High Power Reduction Identities

Same idea in other shifts

Asked 2× in all

2 Apr 2026, Shift 2 · Q13Let $P = \{\theta \in [0, 4\pi]: \tan^2\theta \ne 1\}$ and…MediumSingle correct

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.