Complex Numbers 2 Question 26
27. Area of $S$ is equal to
(a) $\frac{10 \pi}{3}$
(b) $\frac{20 \pi}{3}$
(c) $\frac{16 \pi}{3}$
(d) $\frac{32 \pi}{3}$
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Answer:
Correct Answer: 27. $\left(a^{2}+b^{2}\right)\left(\left|z _1\right|^{2}+\left|z _2\right|^{2}\right)$
Solution:
- Since, $S=S _1 \cap S _2 \cap S _3$
Clearly, the shaded region represents the area of sector
$$ \therefore \quad S=\frac{1}{2} r^{2} \theta=\frac{1}{2} \times 4^{2} \times \frac{5 \pi}{6}=\frac{20 \pi}{3} $$
