The area of the triangle formed by the complex numbers z, iz, and z +

1.	The area of the triangle formed by the complex numbers z, iz, and z + iz in the Argand’s diagrams is ___(a) (1/2) \|z\|(b) \|z\|2(c) (3/2)\|z\|2(d) 2\|z\|2
Answer» (a) (1/2) \|z\| Area of triangle = (1/2) bh = (1/2) \|z\| \|iz\| = (1/2) \|z\|²

The area of the triangle formed by the complex numbers z, iz, and z + iz in the Argand’s diagrams is ___(a) (1/2) |z|(b) |z|2(c) (3/2)|z|2(d) 2|z|2

Answer»

(a) (1/2) |z|

Area of triangle = (1/2) bh

= (1/2) |z| |iz|

= (1/2) |z|²