Locate the region in the Argand plane for the complex number z satisfying |z-4| < |z-2|.

Consider the region R in the Argand plane described by the complex number. Z satisfying the inequalities |Z-2| le |Z-4| , |Z-3| le |Z+3| , |Z-i| le |Z-3i| , |Z+i| le |Z+3i| Answer the followin questions : Minimum of |Z_(1)-Z_(2)| given that Z_(1) , Z_(2) are any two complex numbers lying in the region R is

Consider the region R in the Argand plane described by the complex number. Z satisfying the inequalities |Z-2| le |Z-4| , |Z-3| le |Z+3| , |Z-i| le |Z-3i| , |Z+i| le |Z+3i| Answer the followin questions : The maximum value of |Z| for any Z in R is

Locate the region in the argand plane for z satisfying |z+i|=|z-2|.

Let z be a complex number satisfying |z+16|=4|z+1| . Then

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

Show that the area of the triagle on the argand plane formed by the complex numbers Z, iz and z+iz is (1)/(2)|z|^(2)," where "i=sqrt(-1).

Given that |z-a|=a ,and |b-a|=|b-2a|=a where z is a point in the Argand's plane,then the complex number b can be