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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 , prove that the locus of the focus of the parabola is x^2 / b^2 + y^2/b^2-a^2=1

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 , prove that the locus of the focus of the parabola is x^2 / b^2 +
 y^2/b^2-a^2=1

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1 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
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