Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let a circle of radius 4 pass through the origin O , the points 
and 
, where 
and 
are real parameters and 
. Then the locus of the centroid of 
is a circle of radius
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Circle of radius 4 passes through O and points 
.
Let center be 
on circle: 
.
Since A, B lie on circle: 
gives 
And 
gives 
Centroid 
. Setting 
and 
:
and 
From 
Substituting: 
Radius 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If P is a point on the circle is a point on the straight line and is the perpendicular bisector …
Let the circle intersect -axis at the points and . Let , and be two points such that . Then…
Let the set of all values of , for which the circles and intersect at two distinct points be the…
If the points of intersection of the ellipses and lie on a circle of radius and centre , then t…
Let and be vectors such that and . If are the possible values of , then the equation represe…
Let PQ and MN be two straight lines touching the circle at the points A and B respectively. Let O …