Straight LineHard
Question
Tangents are drawn to the hyperbola 
, parallel to the straight line 2x - y = 1. The points ofcontact of the tangents on the hyperbola are
, parallel to the straight line 2x - y = 1. The points ofcontact of the tangents on the hyperbola areOptions
A.
B.
C.(3√3, -2√2)
D.(-3√3, 2√2)
Solution
Slope of tangent = 2
The tangents are y = 2x
i.e., 2x - y =
Comparing it with
We get point of contact as
Alternate:
Equation of tangent at P (θ) is
⇒ Slope =
⇒ sin θ =
⇒ points are
The tangents are y = 2x
i.e., 2x - y =
Comparing it with
We get point of contact as
Alternate:
Equation of tangent at P (θ) is
⇒ Slope =
⇒ sin θ =
⇒ points are
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