CircleHard
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)
∴
⇒
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