1
WB JEE 2008
Subjective
+2
-0

Prove that if the ratio $${{z - i} \over {z - 1}}$$ is purely imaginary, the point z lies on the circle in the Argand plane whose centre is at the point $${1 \over 2}(1 + i)$$ and radius is $${1 \over {\sqrt 2 }}$$.

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