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
Create a free account to view solution
View Solution FreeMore Straight Line Questions
The equations of the lines on which the perpendiculars from the origin make 30o angle with x-axis and which form a trian...Given A(0, 0) and B(x, y) with x ∈ (0, 1) and y > 0 let the slope of line AB equals m1. Point C lies in the line x...Let E1 and E2 be two ellipses whose centers are at the origin. The major axes of E1 and E2 lie along the x-axis and the ...If the three lines p1x + q1y = 1, p2x + q2y = 1 and p3x + q3y = 1 are concurrent, then the points (p1, q1 ), (p2, q2 ) a...If ω = and |ω| = 1, then z lies on...