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  • Provide solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 38

Provide solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 38

Answers (1)

Answer:

 (c)

Hint:

 Put the limit y = -1,1

Given:

 x = 2y + 3, y = 1, y = -1

Explanation:

Area of the bounded region

\begin{aligned} &=\int_{-1}^{1}(2y+3)dy\\ &=\left [ \frac{2y^{2}}{2}+3y \right ]_{-1}^{1}\\ &=\left [ y^{2}+3y \right ]_{-1}^{1}\\ &=1+3-(-1)^{2}-3(-1)\\ &=4-1+3\\ &=6 \text { sq. units } \end{aligned}

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Gurleen Kaur

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