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A normal at a point P of the curve meets x-axis at A and tangent at P meets y-axis at B. If the line AB is bisected at the ordinate of P, prove that the curve is a hyperbola and find its eccentricity.

A normal at a point P of the curve meets x-axis at A and tangent at P meets y-axis at B. If the line AB is bisected at the ordinate of P, prove that the curve is a hyperbola and find its eccentricity.

Grade:12th pass

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