Published by:
CGP EDU Academic Team
Published on: August 14, 2026
From any point on the hyperbola 
= 1, tangents are drawn to the hyperbola 
= 2. The area cut off by the chord of contact on the region between the asymptotes is equal to-
A
B
ab
C
2ab
D
4ab
Text Solution
Verified by ExpertsThe correct answer is:
D
Let P (a sec θ , b tan θ ) be any point on the hyperbola 
= 1.
Equation of the chord of contact of tangents from P to the hyperbola 
= 2 is
= 2
or 
= 2 ...(1)
The two hyperbolas have a common set of asymptotes y = ± 
x.
y = 
x meets the chord of contact of tangents at Q
y = – 
x meets the chord of contact at R
Area of Δ OQR = 
= 4ab sq. units
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