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

Indicate the region in the Argand plane respresented by |z+1|^2+|z-1|^2 =4 .

Show that the area of the triangle on the Argand diagram formed by the complex number z,iz and z+iz 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

The region represented by inequalities arg(z) =1 in the argand diagram is given by