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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 `b`, the axes being `AB` and a perpendicular diameter. The locus of the focus of the parabola is a conic which is : (A) a parabola (B) an ellipse (C) a hyperbola which is not a rectangular hyperbola (D) a rectangular hyperbola

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