RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 21. Areas of Bounded Regions

Subject: Maths - Class 12th

Q. No. 44 of Exercise 21.3

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Using integration, find the area of the following region.

To find area of region



Equation (1) represents an ellipse with centre at origin and meets axes at (±3, 0), (0,±2).

Equation (2) is a line that meets axes at (3, 0), (0, 2).

The sketch of the two curves are shown below:

Required area =

The area of the region: is

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