If \( y=\dfrac{1}{2}(\sin^{-1}x)^{2} \) , then find \( (1-x^{2})y_{2}-xy_{1} \) . ; Where \( y_{1} \) and \( y_{2} \) denote first and second derivatives of \( y \) respectively.
A \( -1 \)
B \( 0 \)
C \( 1 \)
D \( 2 \)
Solution
Correct Answer: Option C