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

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