Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The locus of the poles of the chords of the hyperbola
, which subtend a right angle at the centre is
Text Solution
Verified by ExpertsThe correct answer is:
A
Let
be the pole w.r.t.
......(i)
Then equation of polar is
.....(ii)
The equation of lines joining the origin to the points of intersection of (i) and (ii) is obtained by making homogeneous (i) with the help of (ii), then
⇒ ⇒
Since the lines are perpendicular, then coefficient of
coefficient of 
or
.
Hence required locus is 
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