HyperbolaHard
Question
The locus of the mid points of the chords passing through a fixed point (α, β) of the hyperbola, 
= 1 is -
= 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
⇒
Equation of chord is T = 0 ⇒
Locus is
⇒
= 0⇒
= 0⇒
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