If `|z|=sqrt2` then the point given by `"3+ 4z"` lies on a circle whose radius is

If |(z+i)/(z-i)|=sqrt(3) , then z lies on a circle whose radius, is

If |(z+i)/(z-i)|=sqrt(3) , then z lies on a circle whose radius, is

Prove that if the ratio (z - i)/( z - 1) is purely imaginary then the point z lies on the circle whose centre is at the point 1/2(1+i)and " radius is " 1/sqrt(2)

If the ratio (z-i)/(z-1) is purely imaginary, prove that the point z lies on the circle whose centre is the point (1)/(2) (1+i) and radius is (1)/(sqrt2)

Let z=x+iy be a complex number such that |z+i|=2 . Then the locus of z is a circle whose centre and radius are

Two points P and Q in the argand plane represent the complex numbers z and 3z+2+u . If |z|=2 , then Q moves on the circle, whose centre and radius are (here, i^(2)=-1 )

Two points P and Q in the argand plane represent the complex numbers z and 3z+2+u . If |z|=2 , then Q moves on the circle, whose centre and radius are (here, i^(2)=-1 )

If z be complex no. and (z-1)/(z+1) be purely imaginary show that z lies on the circle whose centre is at origin and the radius is 1

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.