If |z−1−i|=1, then the locus of a point represented by the complex number 5(z−i)−6 is
A
a circle with centre (1,0) and radius 3
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B
a circle with centre (−1,0) and radius 5
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C
a line passing through the origin
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D
a line passing through (−1,0)
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Solution
The correct option is B a circle with centre (−1,0) and radius 5 |z−1−i|=1
From graph, we can conclude that 5(z−1)−6 is a circle with centre (−1,0) and radius 5.