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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If r>0,−π≤θ≤πr > 0,-\pi \leq \theta \leq \pi and r,θr, \theta satisfy rsin⁡θ=3r \sin \theta=3 and r=4(1+sin⁡θ)r=4(1+\sin \theta), then the number of possible solutions of the pair (r,θ)(r, \theta) is
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Correct option: A
2
Option A (2) is correct because there are two possible solutions for the pair (r,θ)(r, \theta) after solving the system of equations.

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