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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1
If sin⁡−1x+sin⁡−1y=π\sin ^{-1} x+\sin ^{-1} y=\pi and, if x=λyx=\lambda y, then the value of 392λ+5239^{2 \lambda}+5^2 must be:
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Correct option: B
1546
Option B (1546) is correct because from the given condition, we find that x=yx=y, so λ=1\lambda = 1, and then calculate 392λ+52=392+25=1521+25=154639^{2\lambda} + 5^2 = 39^2 + 25 = 1521 + 25 = 1546.

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