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Find the Area of the Smaller Region Bounded by the Ellipse `X^2/9 + Y^2/4` And the Line `X/3 + Y/2 = 1` - Mathematics

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Question

Find the area of the smaller region bounded by the ellipse `x^2/9 + y^2/4` and the line `x/3 + y/2 = 1`

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Solution

The area of the smaller region bounded by the ellipse, `x^2/9 + y^2/4` , and the line, `x/3 + y/2 = 1`, is represented by the shaded region BCAB as

∴ Area BCAB = Area (OBCAO) – Area (OBAO)

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Chapter 8: Application of Integrals - Exercise 8.3 [Page 375]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 8 Application of Integrals
Exercise 8.3 | Q 8 | Page 375

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