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A circle passes through the end of a diameter of the ellipse x 2 /a 2 + y 2 /b 2 = 1 and also touches the curve. Prove that the local of its centre is the ellipse 4(a 2 x 2 + b 2 y 2 ) = (a 2 – b 2 ). S.K. Goyal (Coordinate Geometry, Level I, Ellipse)

A circle passes through the end of a diameter of the ellipse x2/a2 + y2/b2 = 1 and also touches the curve. Prove that the local of its centre is the ellipse 4(a2x2 + b2y2) = (a2 – b2).
 
S.K. Goyal (Coordinate Geometry, Level I, Ellipse)

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
Dear student

The question is either incomplete or incorrect kindly attach the image of the question

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