Question 40

Mathematics Ellipse Hard

The locus of the point of intersection of tangents to the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) which meet right angles is

(A) a circle
(B) a parabola
(C) an ellipse
(D) a hyperbola
View Dynamic Solution & Explanation
Correct Solution: Option A

Step-by-step Solution:

This is a standard result. The locus will be a circle. This is known as director circle