From any point on the hyperbola H 1 : 
= 1 tangents are drawn to the hyperbola H 2 : 
= 2. Then find the area cut-off by the chord of contact on the asymptotes of H 2 .
Text Solution
Verified by Experts4
(4 ab)
Sol. Let P(x 1 , y 1 ) be a point on 
– 
= 1
⇒ 
– 
= 1
Chord of contact of 
– 
= 2 from (x 1 , y 1 ) is
– 
= 2 ........(1)
equations of asymptotes are – = 0 and + = 0
pts. of Intersection of (1) with two asymptotes are
x 1 = 
, y 1 = 
x 2 = 
, y 2 = 
∴ or Δ = 
(x 1 y 2 – x 2 y 1 ) = 
= 4ab
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