Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A vertical line passing through the point (h, 0) intersects the ellipse 
at the points P and Q. Let the tangents to the ellipse at P and Q meet at the point R. If 
(h) = area of the triangle PQR, 
and 
, then 
= ________
Text Solution
Verified by ExpertsThe correct answer is:
9
(9)
at 
Let R(x 1 , 0)
PQ is chord of contact, so 
which is equation of PQ, x = h
so 
= area of 
PQR = 
which is always decreasing
so 
= maximum of 
(h) = 
at 
= minimum of 
(h) = 
at h = 1
so 
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