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The maximum area of the triangle formed ...

The maximum area of the triangle formed by the complex coordinates `z, z_1,z_2` which satisfy the relations `|z-z_1|=|z-z_2|` and `|z-(z_1+z_2 )/2|<= r`,where `r>|z_1-z_2|` is

A

`(1)/(2)|z_(1)-z_(2)|^(2)`

B

`(1)/(2)|z_(1)-z_(2)|r`

C

`(1)/(2)|z_(1)-z_(2)|^(2)r^(2)`

D

`(1)/(2)|z_(1)-z_(2)|r^(2)`

Text Solution

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The correct Answer is:
B
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