Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A tangent to the ellipse 
meets the ellipse 
at the points P and Q; prove that the tangents at P and Q are at right angles.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Let Point of intersection of tangents at
P & Q be (h, k), chord of contact for ellipse 
is
T = 0
= 1
is tangent to ellipse 
= a 2 × 
Locus is x 2 + y 2 = (a + b) 2 ⇒ h 2 + k 2 = (a + b) 2
which is director circle
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