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  • Explain solution RD Sharma class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 36 maths

Explain solution RD Sharma class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 36 maths

Answers (1)

Answer:

 (b)

Hint:

 Find intersection point then area

Given:

 y = x2 and y = 16

Explanation:

\begin{aligned} &y=16\\ &16=x^{2}\\ &x=\pm 4 \end{aligned}

Area of the region

\begin{aligned} &=\int_{-4}^{4}16-x^{2}dx\\ &=\left [ 16x-\frac{x^{2}}{3} \right ]_{-4}^{4}\\ &=16(4+4)-\left [ \frac{(4)^{3}}{3}-\frac{(-4)^{3}}{3} \right ]\\ &=128-\left [ \frac{2\times 4\times 4\times 4}{3} \right ]\\ &=128-\frac{128}{3}\\ &=\frac{256}{3} \end{aligned}

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Gurleen Kaur

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