Q.
If z lies on the circle z-1=1 then z-2z equals
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a
0
b
2
c
-1
d
none of these
answer is D.
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Detailed Solution
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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