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Consider a curve ax^2+2hxy+by^2=1 and a ...

Consider a curve `ax^2+2hxy+by^2=1` and a point P not on the curve. A line drawn from the point P intersect the curve at points Q and R. If he product `PQ.PR` is (A) a pair of straight line (B) a circle (C) a parabola (D) an ellipse or hyperbola

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Consider a curve ax^(2)+2hxy+by^(2)=1 and a point P not on the curve. A line drawn from the point P intersect the curve at points Q and R. If the product PQ.PR is independent of the slope of the line, then show that curve is a circle.

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