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The center of a square ABCD is at the or...

The center of a square ABCD is at the origin and point A is reprsented by `z_(1)`. The centroid of `triangleBCD` is represented by

A

`z_(1)/3`

B

`-z_(1)/3`

C

`(iz_(1))/3`

D

`-(iz_(1))/3`

Text Solution

Verified by Experts

The correct Answer is:
B
The affixes of the vertices B,C and D are `iz_(1),z_(1)` and `-iz_(2)` respectively. Therefore, the affix of the centroid of `triangleBCD` is `(iz_(1)-z_(1)-iz_(1))/(3)=-z_(1)/3`
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