If z lies on the circle $$z-1=1$$ then $$z-2z$$ equals

Correct option is 4none of these

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If z lies on the circle $|z - 1| = 1$ then $\frac{z - 2}{z}$ equals

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detailed solution

Correct option is D

Note that z-1=1represents a circle with the segment joining z = 0 and z = 2 +0i as a diameter. If z lies on the circle, then z-2z-0 is purely imaginary. ( since the angle at z is π2)

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If z lies on the circle z-1=1 then z-2z equals

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If z lies on the circle $|z - 1| = 1$ then $\frac{z - 2}{z}$ equals