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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If y=(sin⁡−1x)2+(cos⁡−1x)2\mathrm{y}=\left(\sin ^{-1} \mathrm{x}\right)^2+\left(\cos ^{-1} \mathrm{x}\right)^2, then (1−x2)y2−xy1=\left(1-\mathrm{x}^2\right) \mathrm{y_2-x y_1}=
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Correct option: B
4
Option B (4) is correct because, after differentiating the given equation twice and simplifying, the expression (1-x2)y_2 - xy_1 equals 4.

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