Published by:
CGP EDU Academic Team
Published on: August 13, 2026
C the centre of the hyperbola 
– 
= 1. The tangents at any point P on this hyperbola meets the striaght lines 4x – 3y = 0 and 4x + 3y = 0 in the points Q and R respectively. Then CQ. CR =
Text Solution
Verified by ExpertsThe correct answer is:
25
(25)
Sol. P is (3sec θ , 4 tan θ )
Tangent at P is 
sec θ – 
tan θ = 1
It meets 4 x – 3y = 0 i.e. 
= 
in Q
∴ Q is 
It meets 4x + 3 y = 0
i.e. 
= – 
in R
∴ R 
is
∴ CQ .CR = 
= 25
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