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:

  • 2

2

4

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 $ .



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