CircleEasy
Question
From a point on the line x - y + 2 = 0 tangents are drawn to the hyperbola
= 1 such that the chord of contact passes through a fixed point (λ, μ). Then
is equal to -
Options
A.2
B.3
C.4
D.5
Solution
Let the point be (α, β) ⇒ β = α + 2
Chord of contact of hyperbola is T = 0
⇒
⇒ α
= 0
Since this passes through (λ, μ)
∴
= 0 and
+ 1 = 0
⇒
= 0
Chord of contact of hyperbola is T = 0
⇒
⇒ α
Since this passes through (λ, μ)
∴
⇒
Create a free account to view solution
View Solution FreeMore Circle Questions
If a circle of constant radius $3k$ passes through the origin ' $O$ ' and meets coordinate axes at $A$ and $B$ then the ...If r represent the distance of a point from origin & θ is the angle made by line joining origin to that point from ...The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line4x - 5y = 20 ...A circle touches the x-axis and also touches the circle with center at $(0, 3)$ and radius $2$. The locus of the center ...If the circle x2 + y2 = a2 cuts off a chord of length 2b from the line y = mx + c, then-...