Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let be the circle centre
and radius 3 units. The equation of the locus of the mid-points of the chords of the circle 
that subtends an angle of 
at its centre is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
For a given circle, 
units
Let 
Then, 
Let 
be the required point
Therefore, 
…………… ..(i)
and 
………………… (ii)
Now, From eq. (i) 
………………… (iii)
Substract Eq. (iii), from (ii),
Similarly,
We know that
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