In the region `|z+1-i| <= 1` which of the following complex number has least positive argument -

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 : 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 : Minimum of |Z_(1)-Z_(2)| given that Z_(1) , Z_(2) are any two complex numbers lying in the region R is

Find the region on the Argand plane on which z satisfies 1lt|z-2i|lt3

If log_((1)/(2))((|z|^(2)+2|z|+4)/(2|z|^(2)+1))<0 then the region traced by z is

If log_(1/2)((|z|^2+2|z|+4)/(2|z|^2+1))<0 then the region traced by z is ___

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

|z-i|lt|z+i| represents the region (A) Re(z)gt0 (B) Re(z)lt0 (C) Im(z)gt0 (D) Im(z)lt0

|z-i|lt|z+i| represents the region (A) Re(z)gt0 (B) Re(z)lt0 (C) Im(z)gt0 (D) Im(z)lt0

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