Q.1: Find the area enclosed by the curve whose equations are: y = 2x2, x = 2, x = 3 and x-axis.

Sol:

y

x = 2 x = 3

Y' x=2 x=3

The equation y = 2x2 represents a parabola symmetrical about y-axis.

Now, the Area of region enclosed by the curve ABCDA [y = 2x2]:

=> 1: y d:i! = 1: 2:1! 2 d:i!

=> [2f J: = [18 - 136] = 3: unit2

Therefore, the Area of shaded region = 3: unit2

Q.2: Find the area enclosed by the curve whose equations are: y = 5x4, x = 3, x = 7 and x-axis.

Sol:

y x=7

Y' x=3 x = 7

The equation y = 2x2 represents a quartic parabola symmetrical about y-axis.

Now, the Area of region enclosed by the curve ABCDA [y = 5x4]:

NCERT SOLUTIONS CLASS 12 MATHS CHAPTER-8 EXERCISE-8.3

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