Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 31

Need solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 31

Answers (1)

Answer:

 (b)

Hint:

 Integration

Given:

 y2 = 4x and y = 2x

Explanation:

\begin{aligned} &y=2x\\ &y^{2}=4a\Rightarrow (2x)^{2}=4x\\ &4x^{2}=4x\\ &4x^{2}-4x=0\\ &4x(x-1)=0\\ &x=0,x=1 \end{aligned}

Area OAB

\begin{aligned} &=\int_{0}^{1}\left ( 2\sqrt{3}-2x \right )dx\\ &=\left [ \frac{2x^{\frac{3}{2}}}{\frac{3}{2}}-\frac{2x^{2}}{2} \right ]_{0}^{1}\\ &=\left [ \frac{4}{3}x^{\frac{3}{2}}-x^{2} \right ]_{0}^{1}\\ &=\frac{4}{3}(1)^{\frac{3}{2}}-(1)^{2}-0+0\\ &=\frac{4}{3}-1\\ &=\frac{1}{3} \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

Board Exam Date 2025 Live: CBSE, ICSE, BSEB, MPBSE Class 10, 12 timetable out; Punjab, Rajasthan schedule soon
anam-khan

CBSE Board Exams 2025: Guidelines issued for Class 10, 12 practicals
anam-khan

Board Exam Date Sheet 2025 Live: ICSE, ISC, CBSE, MP time table out; BSEB routine soon

Latest Question