Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
be a point on the hyperbola 
, whose foci are S and 
. If the length of its latus rectum is 8, then the square of the area of 
is equal to:
Text Solution
Verified by ExpertsThe correct answer is:
D
For the hyperbola 
, point 
gives 
.
The latus rectum length 
gives 
.
Substituting: 
, which yields 
, so 
and 
.
Thus 
and 
.
The foci are 
.
Triangle 
has base 
and height 
.
Area 
.
Therefore 
.
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