JEE Advance - Mathematics (1986 - No. 5)
Show that the area of the triangle on the Argand diagram formed by the complex numbers z, iz and z + iz is $${1 \over 2}\,{\left| z \right|^2}$$ .
The triangle is degenerate and has zero area.
The area of the triangle is |z|.
The area of the triangle is $$|z|^2$$.
The area of the triangle is $${1 over 2},{left| z
ight|^2}$$.
The area cannot be determined without knowing the specific value of z.