HyperbolaHard

Question

The locus of the mid points of the chords passing through a fixed point (α, β) of the hyperbola, = 1 is -

Options

A.a circle with centre
B.an ellipse with centre
C.a hyperbola with centre
D.straight line through

Solution

Let mid-point of chord is (h, k).
Equation of chord is T = 0    ⇒
Locus is
⇒  = 0
⇒  = 0
⇒ 

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