If $Z$ is a complex number such that $|Z| \leq 3$ and $\frac{-\pi}{2} \leq a m p Z \leq \frac{\pi}{2}$, then the area of the region formed by locus of $Z$ is

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Aicharya · Accepted Answer

$|Z| \leq 3$, $-\frac{\pi}{2} \leq \operatorname{amp}(Z) \leq \frac{\pi}{2}$ Required region is semicircle with radius 3. $	ext { Required area }=\frac{\pi 	imes 3^2}{2}=\frac{9 \pi}{2} .$

If $Z$ is a complex number such that $|Z| \leq 3$ and $\frac{-\pi}{2} \leq a m p Z \leq \frac{\pi}{2}$, then…

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