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A parabola is drawn to pass through A an...

A parabola is drawn to pass through A and B, the ends of a diameter of a given circle of radius a, and to have as directrix a tangent to a concentric circle of radius the axes of reference being AB and a perpendicular diameter, prove that the locus of the focus of parabola `x^2/a^2 + y^2/(b^2-a^2) = 1`

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