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Question: If the area of the triangle on the complex plane formed by the points z, z + iz and iz is 50, then \...

If the area of the triangle on the complex plane formed by the points z, z + iz and iz is 50, then |z| is –

A

1

B

5

C

10

D

100

Answer

10

Explanation

Solution

Sol. z, iz, z + iz

12\frac{1}{2} × |z|2 = 50 Ž |z|2 = 100 Ž ∣z∣=10\begin{matrix} |z| = 10 \end{matrix}