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If |z-1-i|=1, then the locus of a point ...

If `|z-1-i|=1`, then the locus of a point represented by the complex number `5(z-i)-6` is

A

circle with centre `(1,0)` and radius `3`

B

circle with centre `(-1,0)` and radius `5`

C

line passing through origin

D

line passing through `(-1,0)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` Let `w=5(z-i)-6`
`implies|w+1|=5|z-1-i|=5`
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