Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The length of the latus rectum and directrices of a hyperbola with eccentricity e are 9 and 
, respectively. Let the line 
touch this hyperbola at 
. If m is the product of the focal distances of the point 
, then 
is equal to_____ 
Text Solution
Verified by ExpertsThe correct answer is:
61
(61)
Given 
and 
equation of tangent 
by equation of tangent
Let slope 
Constant 
By condition of tangency
Equation of Hyperbola is 
and for tangent
Point of contact is 
Now 
Again product of focal distances
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