The region of argand diagram defined by `|z-1|+|z+1|<=4 ` (1) interior of an ellipse (2) exterior of a circle (3) interior and boundary of an ellipse (4) none of these

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

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

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

Show that the area of the triangle on the Argand diagram formed by the complex numbers z, zi and z+ zi is =(1)/(2) |z|^(2)

Illustrate and explain the set of points z in the Argand diagram, which represents |z- z_(1)| le 3 where z_(1)= 3-2i

Locate the point representing the complex number z on the Argand diagram for which |i-1-2z| gt 9 .

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|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