RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 21. Areas of Bounded Regions

Subject: Maths - Class 12th

Q. No. 24 of Exercise 21.3

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


Find the area of the region bounded by y = √x and y = x.

To find the area bounded by

y = √x ...(i)

y = x ...(ii)

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

Or x2 = x

Or, x(x – 1) = 0

Or, x = 0 or x = 1

Then y = 0 or y = 1

Equation (i) represent a parabola with vertex (0,0) and axis as x - axis

Equation (ii) represents a line passing through origin.

Points of intersection are (0,0) and (1,1).

These are shown in the graph below: -

Area of bounded region

The area of the region bounded by y = √x and y = x is

Chapter Exercises

More Exercise Questions