Published by:
CGP EDU Academic Team
Published on: August 14, 2026
An ellipse intersects the hyperbola 
orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then the equation of ellipse is
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
The ellipse and hyperbola will be confocal.
Foci of given hyperbola are 
.
Let the equation of ellipse be 
.
and 
eccentricity of hyperbola 
, so eccentricity of ellipse 
]
Therefore, the equation of ellipse is 
.
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