Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The locus of the mid-points of a system of parallel chords of an ellipse is a
Text Solution
Verified by ExpertsThe correct answer is:
A
Let m be the slope of the system of parallel chords of the ellipse 
. Let M(x 1 , y 1 ) be the mid point of any one chord of the system. Then its equation is
T = S 1 i.e. 
.
Its slope is = 
.
But the slope is given to be m .
∴ ∴ 
.
Hence locus of (x 1 , y 1 ) is y = 
, which is a straight line through the centre (0, 0) of the ellipse.
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