Locate the region in the Argand plane determined by `z^2+ z ^2+2|z^2|<(8i( z -z))` .

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

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

Illustrate and explain the region of the Argand's plane represented by the inequality |z+i| ge |z + 2|

The region in the Argand diagram defined by |z-2i|+|z+2i| lt 5 is the ellipse with major axis along

The complex numbers z_(1), z_(2) and the origin are the vertices of an equilateral triangle in the Argand plane Prove that z_(1)^(2)+ z_(2)^(2)= z_(1).z_(2)

Given z_(1)=1 + 2i . Determine the region in the complex plane represented by 1 lt |z-z_(1)| le 3 . Represent it with the help of an Argand diagram

If A (z_1), B (z_2) and C (z_3) are three points in the argand plane where |z_1 +z_2|=||z_1-z_2| and |(1-i)z_1+iz_3|=|z_1|+|z_3|-z_1| , where i = sqrt-1 then

The points A(z_1), B(z_2) and C(z_3) form an isosceles triangle in the Argand plane right angled at B, then (z_1-z_2)/(z_3-z_2) can be (A) 1 (B) -1 (C) -i (D) none of these

The locus of the point z is the Argand plane for which |z +1|^(2) + |z-1|^(2)= 4 is a