Question:
The number of $x \in[0,2 \pi]$ for which
$\left|\sqrt{2 \sin ^{4} x+18 \cos ^{2} x}-\sqrt{2 \cos ^{4} x+18 \sin ^{2} x}\right|=1$ is
Correct Option: 4
JEE Main Previous Year Online April 9, 2016
Solution:
The number of $x \in[0,2 \pi]$ for which
$\left|\sqrt{2 \sin ^{4} x+18 \cos ^{2} x}-\sqrt{2 \cos ^{4} x+18 \sin ^{2} x}\right|=1$ is
Correct Option: 4