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If P and Q are represented by the comple...

If `P and Q` are represented by the complex numbers `z_1 and z_2` such that `|1/z_2+1/z_1|=|1/(z_2)-1/z_1|` , then a) `O P Q(w h e r eO)` is the origin of equilateral `O P Q` is right angled. b) the circumcenter of ` O P Q is 1/2(z_1+z_2)` c) the circumcenter of ` O P Q is 1/3(z_1+z_2)`

A

`(1)/(2) (z_1 - z_2)`

B

`(1)/(3) (z_1 + z_2)`

C

`(1)/(2) (z_1 + z_2)`

D

`(1)/(3) (z_1 - z_2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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