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

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प्रश्न

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

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उत्तर

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

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

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पाठ 8: Application of Integrals - Exercise 8.3 [पृष्ठ ३७५]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 8 Application of Integrals
Exercise 8.3 | Q 9 | पृष्ठ ३७५

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