Mathematics · 2021
JEE Main · 18 March 2021, Shift 2 · Q61
If 15 sin^4 α+10 cos^4 α=6, for some α ∈ R, then the value of 27 sec^6 α+8 cosec^6 α is equal to:
If $\displaystyle 15 \sin ^4 \alpha+10 \cos ^4 \alpha=6$, for some $\displaystyle \alpha \in \mathbf{R}$, then the value of $\displaystyle 27 \sec ^6 \alpha+8 \operatorname{cosec}^6 \alpha$ is equal to :
Official answer
(4)
$\displaystyle 250$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.