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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` - CBSE (Commerce) Class 12 - Mathematics

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Question

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`

Solution

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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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 8: Application of Integrals
Q: 9 | Page no. 375
Solution 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` Concept: Area Under Simple Curves.
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