`|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.

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

Prove that |Z-Z_1|^2+|Z-Z_2|^2=a will represent a real circle [with center (|Z_1+Z_2|^//2+) ] on the Argand plane if 2ageq|Z_1-Z_1|^2