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If zis a complex number, then |3z-1|=3|z...

If zis a complex number, then `|3z-1|=3|z-2|` represents

A

x=0

B

`x^(2)+y^(2)=3x`

C

y=0

D

x=7/6

Text Solution

Verified by Experts

The correct Answer is:
D
`3|z-(1)/(3)|=3|z-2|`
` |z-((1)/(3))|=|z-(2)|`
PA =PB `implies` locus of z is `|/` bisector of join of A and B

`x=((1)/(3)+2)/(2)`
`x=(7)/(6)`
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