Published by:
CGP EDU Academic Team
Published on: August 14, 2026
An ellipse has eccentricity 
and one focus at the point 
. Its one directrix is the common tangent nearer to the point P , to the circle 
and the hyperbola 
. The equation of the ellipse in the standard form, is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
There are two common tangents to the circle 
and the hyperbola 
These are 
and 
Out of these, 
is nearer to the point 
.
Thus a directrix of the required ellipse is 
If 
is any point on the ellipse, then its distance from the focus is 
and its distance from the directrix 
is 
.
By definition of ellipse, 
⇒ ⇒ 
or 
.
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