Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If P is a variable point on the ellipse 
with foci S and S' and 
is the area of triangle SPS' , then the maximum value of 
is
A
B
C
3 
D
4 
Text Solution
Verified by ExpertsThe correct answer is:
C
Let P = (acos θ θ , bsin θ θ )
SS’ = 2ae
The area of Δ Δ PSS’ = 
(SS’) (perpendicular distance from P to SS’)
= 
∴ ∴ Maximum of Δ Δ PSS’ = abc (since sin θ θ ≤ ≤ 1) = 4 x 3 x 
.
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