Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If x cos α + y sin α = p, a variable chord of the hyperbola 
– 
= 1 subtends a right angle at the centre of the hyperbola, then the chords touch a fixed circle, find the radius of the circle
Text Solution
Verified by ExpertsThe correct answer is:
A
( 
a)
Sol. Homogenizing the equation of hyperbola with the help of line
We have 
– 
= 
Now this subtends an angle of 90° at origin
so coefficient of x 2 + coefficient of y 2 = 0 i.e. 
– 
– 
– 
= 0
So 
= 
p = 
a
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