Published by:
CGP EDU Academic Team
Published on: August 22, 2026
Let 
and 
be two distinct roots of the equation 
. Let the sets 
and 
are the eccentricities of hyperbolas 
, and 
and 
are the eccentricities of an ellipse and a hyperbola, respectively 
.
The 
is equal to:
Text Solution
Verified by ExpertsThe correct answer is:
C
Case 1 : Both are eccentricities of hyperbola
Now, 
and 
Now, 
Minimum occurs at 
if 
(end points)
and 
Case 2 : One ellipse, one hyperbola
Now 
as 
Now 
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