Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let S and S' be the foci of an ellipse and B be any one of the extremities of its minor axis. If Δ S'BS is a right angled triangle with right angle at B and are ( Δ S'BS) = 8 sq. units, then the length of a latus rectum of the ellipse is :
A
2
B
C
4
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Sol. 
Δ BSS ′ = 
(SS')(OB) = 8 ⇒ ae.b = 8 ⇒ b 2 = 8 ⇒ b = 2 
( ae = b)
Δ BSS' = 
BS.BS' = 8 = 
(BS) 2 = 
a 2 = 8 ⇒ a = 4
∴ e = 
⇒ L.R. = 
= 
= 4
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