Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If a variable straight line 
, which is a chord of the hyperbola 
, subtend a right angle at the centre of the hyperbola then it always touches a fixed circle whose radius is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Since 
subtends a right angle at centre i.e. (0,0). Making homogeneous equation of hyperbola 
with the help of 
and putting coefficient of 
coefficient of 
. We get 
⇒ ⇒ 
p is also the length of perpendicular drawn from (0, 0) to the line 
.
⇒ ⇒ then radius of the circle = p = 
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