JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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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 \text { is }

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Correct option: D

Option D (8) is correct because squaring both sides and solving the equation gives 8 solutions in the interval [0, 2

\pi

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