If \( f(x)=\left(\sin ^{-1}(x)\right)^{2} \) and ' \( m \) ' and ' \( M \) ' are the minimum and....

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If \( f(x)=\left(\sin ^{-1}(x)\right)^{2} \) and ' \( m \) ' and ' \( M \) ' are the minimum and maximum values of respectively, then
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(1) \( m=\frac{-\pi^{2}}{4} \)
(2) \( m=\frac{\pi^{2}}{4} \)
(3) \( \quad M=\frac{\pi^{2}}{4} \)
(4) \( m=0 \)


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