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)

Sukant Kumar , 6 Years ago

Grade 12th pass