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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 directrix a tangent to a concentric circle of radius b ; the axis being AB and a perpendicular daimeter,prove that the locus of the focus of the parabola is x 2 /b2 + 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 directrix a tangent to a concentric circle of radius b ;Β the axis being AB and a perpendicular daimeter,prove that the locus of the focus of the parabola is
x2Β /b2 Β + Β y2/b2-a2Β = 1

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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