Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If a tangent having slope of 
to the ellipse 
intersects the major and minor axes in points A and B respectively, then the area of 
is equal to ( O is centre of the ellipse)
Text Solution
Verified by ExpertsThe correct answer is:
D
Let 
be a point on the ellipse 
⇒ ⇒ 
The equation of the tangent at 
is 
. This meets the axes at 
and 
. It is given that slope of the tangent at 
is 
.
Hence 
⇒ ⇒ 
⇒ ⇒ 
(say)
Putting 
in (i), we get 
.
Now area of 
sq. unit , 
.
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