The value of \( \cos \left(2 \cos ^{-1} x+\sin ^{-1} x\right) \) at \( x=\frac{1}{5} \) is: (a) ...

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The value of \( \cos \left(2 \cos ^{-1} x+\sin ^{-1} x\right) \) at \( x=\frac{1}{5} \) is:
(a) \( \frac{2 \sqrt{6}}{5} \)
(b) \( -\frac{2 \sqrt{6}}{5} \)
(c) \( \frac{3 \sqrt{6}}{5} \)
(d) None of these
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