Complex Numbers And Quadratic Equations question 153
Question: If z, iz and $ z+iz $ are the vertices of a triangle whose area is 2 units, then the value of $ |z| $ is [RPET 2000]
Options:
A) - 2
B) 2
C) 4
D) 8
Show Answer
Answer:
Correct Answer: A
Solution:
Area of the triangle $ =\frac{1}{2}|z{{|}^{2}} $ $ \because \frac{1}{2}|z{{|}^{2}}=2 $
Þ $ |z{{|}^{2}}=4 $
Þ $ |z|=2 $ .
BETA
