Two points P and Q in the Argand diagram represent z and `2z+ 3 +i`. If P moves on a circle with centre at the origin and radius 4, then the locus of Q is a circle with centre

If |z|=2, then locus of -1+5z is a circle whose centre is

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 )

In Argand diagram,O,P,Q represent the origin,z and z+ iz respectively then /_OPQ=

If z!=1 and (z^2)/(z-1) is real, then the point represented by the complex number z lies (1) either on the real axis or on a circle passing through the origin (2) on a circle with centre at the origin (3) either on the real axis or on a circle not passing through the origin (4) on the imaginary axis

A circle has its centre at the origin and a point P (5,0) lies on it . The point Q (6,8) lies outside the circle.

If P (x,y) and Q (1,4) are the points on the circle whose centre is :C(5,7) and radius is 5 cm, then find the locus of P.

If p represent z=x+iy in the argand plane and |z-1|^(2)+|z+1|^(2)=4 then the locus of p is

Show that |(z -2)/(z - 3)| = 2 represents a circle, find its centre and radius.