Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the normal at P to the rectangular hyperbola x 2 − y 2 = 4 meets the axes in G and g and C is the centre of the hyperbola, then
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,c)Normal at P ( θ ) ≡ P (2sec θ , 2 tan θ )
2 x cos θ + 2y cot θ = 8
⇒ x cos θ + y cot θ = 4
∴ G (4sec θ , 0), g (0, 4 tan θ ) and c (0, 0)
PG = 
= PC = Pg
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