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CGP EDU Academic Team
Published on: August 14, 2026
In an equilateral triangle ABC ', equation of the side BC is x + y -2 = 0 and the centroid of 
ABC is (0, 0). If points A, B and C are inanticlockwise order, then the equation of side AC is
A
(y + 2) = (2 - 
) (x + 2)
) (x + 2)
B
(y + 2) = (2 + 
) (x + 2)
) (x + 2)
C
(y + 1) = (2 + 
) (x + 1)
) (x + 1)
D
x + 2 = 0
Text Solution
Verified by ExpertsThe correct answer is:
B
(y + 2) = (2 + 
) (x + 2)
Foot of (0,0) on line BC is D (1,1)
Because (0,0) divides AD internally in the ratio 2 : 1
Hence, by using section formula A = (-2, -2)
Slope of AC is tan (45° +30°) = 2 + 
Equation of AC is (y + 2) = (2 + 
) (x + 2)
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