Let S be the set of all solutions of the equation ^ -1 (2x)-2 ^ -1 ( 1-x^2 )= , x [- 1 2 , 1 2 ]. Then _ x S 2 ^ -1 (x^2-1) is equal to

JEE Main 2023 Mathematics question

Let S be the set of all solutions of the equation , x. Then is equal to

Answer: (B)

The source's own working shows S is empty (no x satisfies both conditions simultaneously), so the sum over S is vacuously 0,

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Question ID VK-025620