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 $ .