Complex Numbers And Quadratic Equations question 348

Question: If the area of the triangle formed by the points $ z,z+iz $ and iz on the complex plane is 18, then the value of $ |z| $ is [MP PET 2001]

Options:

A) 6

B) 9

C) $ 3\sqrt{2} $

D) $ 2\sqrt{3} $

Show Answer

Answer:

Correct Answer: A

Solution:

Area of the triangle $ \frac{1}{2}|z{{|}^{2}}=18 $
$ \Rightarrow |z|=6 $ .