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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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If sin⁡θ=x2+y2x2−y2\sin \theta=\frac{x^2+y^2}{x^2-y^2}, then
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Correct option: C
x=0x=0 or y=0y=0
Option C (x=0x=0 or y=0y=0) is correct because the given condition sin⁡θ=x2+y2x2−y2\sin \theta=\frac{{x^2+y^2}}{{x^2-y^2}} implies ∣x2+y2x2−y2∣≤1\left|\frac{{x^2+y^2}}{{x^2-y^2}}\right| \leq 1, which leads to x=0x=0 or y=0y=0.

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