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The value of $x$ satisfying $\sin^{-1}x+\sin^{-1}(1-x)=\cos^{-1}x$ are

$(a)\;0,\large\frac{1}{2}$$\qquad(b)\;1,2\qquad(c)\;0,2\qquad(d)\;None\;of\;these$

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