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If P,Q and R are points respectively representing the complex numbers z , `ze^(ipi/3)` and `z(1+e^(ipi/3))` in agrand plane then area of the triangle PQR is

A

`sqrt(3)|Z|^(2)`

B

`(sqrt(3))/(2) |Z|^(2)`

C

`(sqrt(3))/(4) |Z|^(2)`

D

`2sqrt(3)|Z|^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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