Mathematics · 2016
JEE Main · 9 April 2016, Shift 1 · Q88
The number of x ∈[0,2 π] for which |√(2 sin^4 x+18 cos^2 x)-√(2 cos^4 x+18 sin^2 x)| =1 is:
The number of $\displaystyle x \in[0,2 \pi]$ for which
$$\left|\sqrt{2 \sin ^4 x+18 \cos ^2 x}-\sqrt{2 \cos ^4 x+18 \sin ^2 x}\right|
$$
$\displaystyle =1$ is :
Official answer
(4)
$\displaystyle 8$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.