Q.
If the area of triangle on the argand place formed by the complex numbers $- z,\ iz,\ z - iz$ is 600 sq. unit, then $|z|$ is equal to
A) 10
B) 20
C) 30
D) 40
Explanation
(b)
Area of the triangle on the argand palne formed by the complex numbers $–z,\ iz,\ z - iz$ is $\frac{3}{2}|z|^{2}$
$\therefore\ \ \ \ \ \frac{3}{2}|z|^{2} = 600\ \ \ \ \ \Rightarrow \ \ \ \ |z| = 20$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.