If minimum value of \( \left(\sin ^{-1} x\right)^{2}+\left(\cos ^{-1} x\right)^{2} \) is \( \fra...

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If minimum value of \( \left(\sin ^{-1} x\right)^{2}+\left(\cos ^{-1} x\right)^{2} \) is \( \frac{\pi^{2}}{k} \), then the value of \( k \) is
(a) 4
(b) 6
(c) 8
(d) None of these
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