A line intesects the ellipse `(x^(2))/(4a^(2))+(y^(2))/(a^(2))=1` at A and B and the parabola `
Channel: Doubtnut
Date: 24/05/2020

A line intesects the ellipse `(x^(2))/(4a^(2))+(y^(2))/(a^(2))=1` at A and B and the parabola `y^(2)=4a(x+2a)` at C and D. The line segment AB substends a right angle at the centre of the ellipse. Then, the locus of the point of intersection of tangents to the parabola at C and D, is