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  4. The area of the triangle with vertices A ( z ), B ( iz ) and C ( z + iz) is :

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Q. The area of the triangle with vertices $A ( z ), B ( iz )$ and $C ( z + iz)$ is :

JEE MainJEE Main 2021Complex Numbers and Quadratic Equations

Solution:

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$A=\frac{1}{2}|z|| i z|$
$=\frac{|z|^{2}}{2}$