If `z=3+5i` , then `z ^3+z+198=`

if z=3 -2i, then verify that (i) z + barz = 2Rez (ii) z - barz = 2ilm z

If z=2−3i then z ^2−4z+13=

If |z-3+ i|=4 , then the locus of z is

If z= -3 + sqrt2i , then prove that z^(4) + 5z^(3) + 8z^(2) + 7z + 4 is equal to -29

If |z|+z=3+i , then value of |z| is (A) 5//3 (B) 3//5 (C) 4//3 (D) 3//4

If z=4 + 3i , then verify that -|z| lt I m (z) le |z|

If |z-i| ≤ 2 and z_0 = 5+3i , the maximum value of |i z + z_0| is

The complex numbers z 1 ​ ,z 2 ​ and z 3 ​ satisfying z 2 ​ −z 3 ​ z 1 ​ −z 3 ​ ​ = 2 1− 3 ​ i ​ are the vertices of a triangle which is

How many solutions system of equations, arg (z + 3 -2i) = - pi/4 and |z + 4 | - |z - 3i| = 5 has ?

If z satisfies |z-1| lt |z +3| " then " omega = 2 z + 3 -i satisfies