Q) Sketch the following regions in the complex plane: (Regions in the Argand plane)
(i) |z| < |z − i| (ii) |z + i| < |z + 3|
Q) Change complex numbers in exponential form:
(i) z = 4 + i (ii) z = −5i (iii) z = 3cis (−60◦)
Q) Change complex numbers in Cartesian form:
(i) z = 4e^−20◦i
(ii) z = 5e^120◦i
(iii)z = 3e^140◦i
Q) Given z1 = 2cis (25◦), z2 = 15cis (65◦) and z3 = 4e^70◦i
determine the following in polar form:
(i) z1z2 (ii) z2/z3