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  • Need solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 19

Need solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 19

Answers (1)

Answer:

 (a)

Hint:

 Integration

Given:

 y^{2}=x,\: 2y=x

Explanation:

Intersection point

\begin{aligned} &y^{2}=x\\ &y^{2}=2y\\ &y^{2}-2y=0\\ &y(y-2)=0\\ &y=0,\: \: y=2\\ &\Rightarrow x=4 \end{aligned}

Area

\begin{aligned} &=\int_{0}^{4}\left ( \sqrt{x}-\frac{x}{2} \right )dx\\ &=\left [ \frac{2}{3}x^{\frac{3}{2}} \right ]_{0}^{4}-\left [ \frac{x^{2}}{4} \right ]_{0}^{4}\\ &=\frac{2}{3}\times 8-4\\ &=\frac{4}{3} \text { sq.units } \end{aligned}

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Gurleen Kaur

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