Show that `abs(frac{z-2}{z-3})` =2, represents a circle find its centre and radius

If z=x+iy then abs(frac{z-1}{z+1}) =1 represents

Show that the equations x^2+y^2-6x+4y-36=0 represents a circle,Also find its centre and radius.

Solve the following:prove that the equation 3x^2+3y^2-6x+4y-1=0 represents a circle.Find its centre and radius.

If frac{abs(z-2)}{abs(z-3)} = 2 represents a circle, then its radius is equal to

The inequality abs(z-4) lt abs(z-2) represents the region given by

Show that the point (5,5),(6,4),(-2,4) and (7,1) are concylic.Hence find centre and radius of this circle.

Find the equation of the circle with Centre at (2,-3) and radius 5

Find the equation of the circle with Centre at origin and radius 3

If z=x+iy, then show that z bar z + 2(z + bar z ) + b =0 represents a circle.

If z= frac{-2}{1+sqrt3i} , then the value of arg(z) is