`|z-4|lt|z-2|` represents the region given by

If |z-4| lt |z-2| , its solution is given by

Show that |z+2-i| lt 2 represents interior points of a circle find its centre and radius.

|z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle with least radius. find the value of lambda

If |(z-2)//(z-3)|=2 represents a circle, then find its radius.

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

If (log)_(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2, then locate the region in the Argand plane which represents zdot

If z^4+1=sqrt(3)i (A) z^3 is purely real (B) z represents the vertices of a square of side 2^(1/4) (C) z^9 is purely imaginary (D) z represents the vertices of a square of side 2^(3/4)

Given the complex number z = 2 +3i, represent the complex numbers in Argand diagram. z, -iz, and z - iz.

Given the complex number z = 2 +3i, represent the complex numbers in Argand diagram. z, iz, and z + iz