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Let z1=6+i & z2=4-3i Let z be a complex ...

Let `z_1=6+i & z_2=4-3i` Let `z` be a complex number such that `arg((z-z_1)/(z-z_2))=pi/2` then `z` satisfies

A

`|z-(5-i)|=5`

B

`|z-(5-i)|=sqrt(5)`

C

`|z-(5+i)|=5`

D

`|z-(5+i)|=sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
`C = (Z_(1)+Z_(2))/(2)`
`r = (|z_(1)-z_(2)|)/(2)`
.
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