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 20.3 question 22.

Need solution for RD Sharma Maths Class 12 Chapter 20 Areas of Bounded Regions exercise 20.3 question 22.

Answers (1)

Answer:

\frac{32}{3} sq. Units

Hint:

Use concept.

Given:

The given  equations are y=2x^2  and y=x^2+4  

Solution:

To find the area enclosed by,

y=2x^2        ........(i)

y=x^2+4        ........(ii)

On solving the equation (i) and (ii),

2x^2=x^2+4

or x^2=4

or x=\pm 2

\therefore y=8

 Equation (1) represents a parabola with vertex (0, 0) and axis as y - axis.

 Equation (2) represents a parabola with vertex (0,4) and axis as the y - axis.

 Points of intersection of parabolas are A(2, 8) and B(– 2, 8).

These are shown in the graph below:

Required area=Region AOBCA

                          =2(RegionAOCA)

\begin{aligned} &=2 \int_{0}^{2}\left(x^{2}+4-2 x^{2}\right) d x \\ &=2 \int_{0}^{2}\left(4-x^{2}\right) d x \\ &=2\left[4 x-\frac{x^{3}}{3}\right]_{0}^{2} \\ &=2\left[\left(8-\frac{8}{3}\right)-0\right] \\ &=\frac{32}{3} \text { sq.units } \end{aligned}

Posted by

infoexpert24

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 Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question