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The number of points P(x,y) satisfying `y^(2)(log_(2)(x^(2)+1)+log_((x^(2)+1))16)=6y^(2)-y^(4)-1` are :

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The correct Answer is:
4
`y^(2)(log_(2)(x^(2)+1)+log_((x^(2)+1))16)=6y^(2)-y^(4)-1`
`implieslog_(2)(x^(2)+1)+(4)/(log_(2)(x^(2)+1))=6-(y^(2)+(1)/(y^(2)))`
`because LHS ge4" and "RHS le4`
`implieslog_(2)(x^(2)+1)=2" and "y^(2)=1`
`impliesx=pmsqrt(3)" and "y=pm1`
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