Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain solution RD Sharma class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 20 maths

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

Answers (1)

Answer:

 (c)

Hint:

 Integration

Given:

 y=4x-x^{2} \text { and } x-axis (y=0)

Explanation:

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

Area

\begin{aligned} &=\int_{0}^{4}(4x-x^{2})dx\\ &=\left [ \frac{4x^{2}}{2}-\frac{x^{3}}{3} \right ]_{0}^{4}\\ &=2(4)^{2}-\frac{(4)^{3}}{3}-0+0\\ &=32-\frac{64}{3}\\ &=\frac{96-64}{3}\\ &=\frac{32}{3}\text { sq.units } \end{aligned}

Posted by

Gurleen Kaur

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE extends single girl child scholarship registration deadline till November 20

Latest Question