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  • Please solve RD Sharma class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 13 maths textbook solution

Please solve RD Sharma class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 13 maths textbook solution

Answers (1)

Answer:

 (b)

Hint:

 Integration

Given:

 y^{2}=4ax, \text { latus rectum }=a , \text{ x-axis }(y=0)

Explanation:

y = 0

x = 0

\begin{aligned} &=\int_{0}^{a}2\sqrt{ax}dx\\ &=2\sqrt{a}\int_{0}^{a}\sqrt{x}dx\\ &\text { Area }=2\sqrt{a}\left [ \frac{x^\frac{3}{2}}{\frac{3}{2}} \right ]_{0}^{a}\\ &=\frac{4}{3}\sqrt{a}\left [ a \right ]^{\frac{3}{2}}\\ &=\frac{4a^{2}}{3} \text { sq.units } \end{aligned}

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Gurleen Kaur

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