RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 21. Areas of Bounded Regions

Subject: Maths - Class 12th

Q. No. 47 of Exercise 21.3

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

47

Find the area enclosed by the curves 3x2 + 5y = 32 and y = |x – 2|.

To find area enclosed by

3x2 + 5y = 32


…(i)


And y = |x – 2|




Equation (i) represents a parabola with vertex (0, 32/5) and equation (ii) represents lines.


These are shown in the graph below:



Required area = Region ABECDA


= Region ABEA + Region AECDA











The area enclosed by the curves 3x2 + 5y = 32 and y = |x – 2| is


Chapter Exercises

More Exercise Questions