Published by:
CGP EDU Academic Team
Published on: August 13, 2026
One vertex of the equilateral triangle with centroid at the origin and one side as 
is
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Let the co-ordinate of vertex A be 
. Then 
is perpendicular to 
, therefore 
⇒ ⇒ 
.....(i)
Let the coordinates of D be 
. Then the co-ordinates of O are 
. Therefore 
and 
.
Since 
lies on 
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ 
⇒ ⇒ 
, [from (i)]
Hence the coordinates of vertex A are 
.
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