Mathematics Part-II

Book: Mathematics Part-II

Chapter: 8. Application of Integrals

Subject: Maths - Class 12th

Q. No. 6 of Exercise 8.1

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6

Find the area of the region in the first quadrant enclosed by x-axis, line and the circle x2 + y2 = 4.


The equations are and the circle


From the figure we can see that the x-axis is the area OAB and it si shown by shaded region.


Now, the point of intersection of the line and the circle in the first quadrant is .


Area OAB = Area ΔOCA + Area ACB


Area of ΔOCA =


Also,


Area of ABC =







Therefore, required area is = .


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Chapter Exercises

More Exercise Questions

1

Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis in the first quadrant.