• # question_answer If z, iz and $z+iz$ are the vertices of a triangle whose area is 2 units, then the value of $|z|$ is [RPET 2000] A) - 2 B) 2 C) 4 D) 8

Area of the triangle $=\frac{1}{2}|z{{|}^{2}}$ $\because \,\frac{1}{2}|z{{|}^{2}}=2$ Þ $|z{{|}^{2}}=4$ Þ $|z|\,=2$.