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The value of \(\ \cos \left(2 \cos ^{-1} x+\sin ^{-1} x\right) \) at \(\ x=\frac{1}{5} \) is [JEE Main 2021]

Q1

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

[JEE Main 2021]

a

\(\ -\frac{2 \sqrt{6}}{5} \)

b

\(\ -2 \sqrt{6} \)

c

\(\ -\frac{\sqrt{6}}{5} \)

d

None of these

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