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. (b)

Solution:

  1. 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} $



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