Class 12 RD Sharma Solutions- Chapter 21 Areas of Bounded Regions – Exercise 21.4

Question 1. Find the area of the region between the parabola x = 4y − y² and the line x = 2y − 3.

Solution: 

Area of the bounded region

Question 2. Find the area bounded by the parabola x = 8 + 2y − y²; the y-axis and the lines y = −1 and y = 3.

Solution: 

Area of the bounded region

Question 3. Find the area bounded by the parabola y² = 4x and the line y = 2x − 4.

(i) By using horizontal strips

(ii) By using vertical strips

Solution:

Area of the bounded region

Question 4. Find the area of the region bounded the parabola y² = 2x and straight line x − y = 4.

Solution: 

Area of the bounded region