Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Tangents are drawn to the hyperbola 
, parallel to the straight line 2x – y = 1. The points of contacts of the tangents on the hyperbola are
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b)
Slope of tangents = 2
Equation of tangents y = 2x ± 
⇒ y = 2x ± 
⇒ 2x – y ± 
= 0 ....(i)
Let point of contact be (x 1 , y 1 )
then equation (i) will be identical to the equation
– 1 = 0 ∴ 
= 
= 
⇒ (x 1 , y 1 ) ≡ 
and 
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