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. Find the area cut off by the chord on the region between the asymptotes.
Text Solution
Verified by ExpertsThe correct answer is:
0384
Ans. 0384
Sol Let P(12sec θ , 8 tan θ ) be any point on 
– 
= 1
Equation of chord of contact of tangents from P to hyperbola 
– 
= 2 is 
– 
= 2
These two hyperbolas have a common set of
symptotes y = ± 
x y = 
x meets the chord of contact of tangents at
Q ≡ 
Similarly for y = – 
x
R ≡ 
Δ OQR = 
= 384 sq. units.
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