JEE Advanced Mathematics question
If the centroid of an equilateral triangle in the Argand plane be at , the vertex is at and are in the anticlockwise sense then the vertex is at
Answer: (B)
Solution
In an equilateral triangle the centroid is also the circumcentre, so , and going anticlockwise each vertex is obtained from the previous one by a rotation of about . Hence is obtained from by rotating through about :
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