The number of ordered pair(s) \( (x, y) \) of real numbers satisfying the equation \( 1+x^{2}+2 ...

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The number of ordered pair(s) \( (x, y) \) of real numbers satisfying the equation \( 1+x^{2}+2 x \sin \left(\cos ^{-1} y\right)=0 \), is :
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