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  • Explain solution RD Sharma class 12 chapter Areas of Bounded Region exercise 20.1 question 28 maths

Explain solution RD Sharma class 12 chapter Areas of Bounded Region exercise 20.1 question 28 maths

Answers (1)

Answer:

\frac{56}{3}a^{2}\; s q\cdot { unit }

Hint:

Use definite integral.

Given:

Find area of curve x=a t^{2}, y=2 a t between ordinate t=1 and t=2

Solution:

Given    x=a t^{2}, y=2 a t

Required area=2 \times \text { Area of } A B C D

                    \begin{aligned} &=2 \int_{a}^{4 a} y d x \\\\ &=2 \times 2 \int_{a}^{4 a} \sqrt{a x} d x \end{aligned}

                    \begin{aligned} &=8 \sqrt{a}\left[\frac{(x)^{\frac{3}{2}}}{\frac{3}{2}}\right]_{a}^{4 a} \\\\ &=\frac{56}{3} a^{2}\; s q \cdot u n i t \end{aligned}

 

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