Find the Area of the Region Bounded by the Ellipse `X^2/16 + Y^2/9 = 1` - Mathematics

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Find the area of the region bounded by the ellipse  `x^2/16 + y^2/9 = 1`

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Solution

The given equation of the ellipse, `x^2/16 + y^2/9 = 1`  can be represented as

It can be observed that the ellipse is symmetrical about x-axis and y-axis.

∴ Area bounded by ellipse = 4 × Area of OAB

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

  Is there an error in this question or solution?
Chapter 8: Application of Integrals - Exercise 8.1 [Page 366]

APPEARS IN

NCERT Class 12 Maths
Chapter 8 Application of Integrals
Exercise 8.1 | Q 4 | Page 366
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