Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If P is any point common to the hyperbola 
and the circle having line segment joining its focii as diameter then find the sum of focal distances of point P.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
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)
Sol. Focii of hyperbola are (± 
, 0)
P lies on the circle x 2 + y 2 = 41
Any point on hyperbola is ⇒ 16 sec 2 θ + 25 tan 2 θ = 41
⇒ tan θ = 
and sec θ = 
∴ pf 1 + pf 2 = e 
+ e 
where e = 
= 
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