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

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

Area of the triangle in the Argand diagram formed by the complex numbers z, iz, z+iz, where z=x+iy is

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

Given the complex number z = 2 +3i, represent the complex numbers in Argand diagram. z, -iz, and z - iz.

Given the complex number z = 2 +3i, represent the complex numbers in Argand diagram. z, iz, and z + iz

P is a point on the argand diagram on the circle with OP as diameter two points taken such that angle POQ = angle QOR = 0 If O is the origin and P, Q, R are are represented by complex z_1, z_2, z_3 respectively then show that z_2^2cos2 theta =z_1z_3 cos^2theta

Let z=x+i y be a complex number, where xa n dy are real numbers. Let Aa n dB be the sets defined by A={z :|z|lt=2}a n dB={z :(1-i)z+(1+i)bar z geq4} . Find the area of region AnnB

Let f={(1,1),(2,3),(0,-1) , (-1,-3) } be a relation from Z to Z defined by f(x) = ax-b then (a,b) =

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