z is a complex number such that the ratio z-i/z-1 is purely imaginary. Prove that z lies on a circle whose centre is at a point 1/2 + 1/2 i and whose radius is 1/v2( 1 divided by square root of 2)

perfect solution

Purchase the answer to view it

z is a complex number such that the ratio z-i/z-1 is purely imaginary. Prove that z lies on a circle whose centre is at a point 1/2 + 1/2 i and whose radius is 1/v2( 1 divided by square root of 2)