21
Q.1: Find the area enclosed by the curve whose equations are: y = 2x 2 , x = 2, x = 3 and x-axis. Sol: y x = 2 x = 3 Y' x=2 x=3 The equation y = 2x 2 represents a parabola symmetrical about y-axis. Now, the Area of region enclosed by the curve ABCDA [y = 2x 2 ]: 1: y d = 1: 2 2 d [2f J: = [18 - 1 3 6] = 3 : unit 2 Therefore, the Area of shaded region = 3 : unit 2 Q.2: Find the area enclosed by the curve whose equations are: y = 5x 4 , x = 3, x = 7 and x-axis. Sol: y x=7 Y' x=3 x = 7 The equation y = 2x 2 represents a quartic parabola symmetrical about y-axis. Now, the Area of region enclosed by the curve ABCDA [y = 5x 4 ]: NCERT SOLUTIONS CLASS 12 MATHS CHAPTER-8 EXERCISE-8.3 myncertsolutions.com
