Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Three distinct points A, B and C are given in the 2-dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1, 0) to the distance from the point (–1, 0) is equal to 
. Then the circumcentre of the triangle ABC is at the point :
A
B
C
D
0, 0
Text Solution
Verified by ExpertsThe correct answer is:
A
= 
∴ (x + 1) 2 + y 2 = 9((x – 1) 2 + y 2 )
x 2 + 2x + 1 + y 2 = 9x 2 + 9y 2 – 18x + 9
8x 2 + 8y 2 – 20x + 8 = 0
x 2 + y 2 – 
x + 1 = 0
∴ circumcentre 
.
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