Published by:
CGP EDU Academic Team
Published on: August 14, 2026
From any point on a hyperbola xy = c 2 tangents are drawn to another hyperbola xy = a 2 which has the same asymptotes. Then the chord of contact cuts off a constant area from the asymptotes:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Let xy = c 2 be the rectangular hyperbola referred to its asymptotes as the coordinate axis.
Let P(h, k) be a point on
xy = c 2 ... (i)
tangents are drawn from P(h, k) to the rectangular hyperbola xy = a 2 ∴ equation of chord of contact
⇒ kx + hy = 2a
2 This cuts the coordinate axis at A 
and B 
∴ Area of Δ OAB = 
= 
= 
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