Locus of the middle points of the chords of the hyperbola …

Maths Conic Sections Hyperbola Single Correct MCQ

Published on: August 13, 2026

Locus of the middle points of the chords of the hyperbola = 1 which passes through a fixed point ( α , β ) is hyperbola whose centre is -

( α , β )

(2 α , 2 β )

( α /2, β /2)

None these

Text Solution

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The correct answer is:

T = S 1 at mid point (h, k) = –

pass ( α , β ) point

∴ – = –

∴ locus is – = 0

⇒ – =

= k 2 (let)

is a hyperbola.

Where centre is ( α /2, β /2).

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