LOCUS OF THE FOCUS

Level pending

A Parabola is drawn to pass through a and B the ends of a diameter of a given circle of radius 3 unit and to have as directrix a tangent to a concentric circle of radius 5 unit , the axes being AB and a perpendicular diameter, then the locus of the focus of the parabola is an ellipse, then radius of the director circle of the ellipse is R. find R²

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