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Find the correct staements in the following? If `P` represents the complex number `z` and if `|2z-1|=2|z|` then the locus of `z`.

A

the straight line `4x-1=0`

B

the straight line `4y-1=0`

C

the straight line `x-y=0`

D

the circle `x^(2)+y^(2)-4x-1=0`

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The correct Answer is:
A
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