1.

P is a point denoting z in the argand diagram and if (z-i)/(z-1) is always purely imaginary, then locus of P is

Answer»

the CIRCLE with centre `(1/2,1/2)` and RADIUS `1/sqrt2`
the circle with centre `(-1/2,-1/2)`and radius `1/sqrt2`
the point on the circle with centre `(1/2,1/2)` and radius `1/sqrt2`, EXCLUDING the point (1, 0) and (0, 1)
the POINTS on the circle with centre `(-1/2,-1/2)` and radius `1/sqrt2`, excluding the origin

Answer :C


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