Let y = y(x) be a solution of the differential equation, 1-x^2 dy dx + 1-y^2 =0, |x| < 1. If y ( 1 2 )= 3 2 , then y ( -1 2 ) is equal to -

JEE Main 2020 Mathematics question

Let y = y(x) be a solution of the differential equation, , |x| < 1. If , then is equal to -

Answer: (A)

The paper marks this question Bonus (no option correct): the solution sin⁻¹y = π/2 − sin⁻¹x would need sin⁻¹y = 3π/4 at

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Question ID VK-011889