Maths Circle and System of Circles Equations of Circle, Geometrical Problems Regarding Circle, Centre of The Circle, Radius of The Circle Single Correct MCQ
Published on: August 13, 2026

The locus of a point which moves such that the sum of the squares of its distances from the three vertices of a triangle is constant, is a circle whose centre is at the

A
Incentre of the triangle
B
Centroid of the triangle
C
Orthocentre of the triangle
D
None of these

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
B

Let a triangle has its three vertices as (0, 0), ( a , 0), (0, b ). We have the moving point ( h, k ) such that

Therefore,

Its centre is , which is centroid of .

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.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.