Mathematics Part-II

Book: Mathematics Part-II

Chapter: 8. Application of Integrals

Subject: Maths - Class 12th

Q. No. 4 of Exercise 8.1

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Find the area of the region bounded by the ellipse


It is given that equation of ellipse is


We can see that the ellipse is symmetrical about x–axis and y–axis.


∴ Area bounded by ellipse = 4 × Area of OAB


Area of ABCD =







= 3π


Therefore, the required area bounded by the ellipse = 4 × 3π = 12π units.


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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.