Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The locus of the middle points of the chords of hyperbola 
parallel to 
is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Let 
be the middle point of the chord of the hyperbola 
∴ ∴ Equation of the chord is 
i.e. 
or 
If this chord is parallel to line 
then
⇒ ⇒ 
⇒ ⇒ 
Hence the locus of the middle point 
is 3 x – 4 y =4.
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