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Find the area of the smaller region boun...

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

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Given ellips is Find the area between the ellpise `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`
Given lines `(|x|)/(a)+(|y|)/(b)=1` formed a parallelogram whose diagonals are major axes of the given ellips.

Required region shaded region in the figure.
`:.` Required area= Area of ellipse-Area of paralllogram
`=piab-4xx(1)/(2)ab=(pi-2)ab`
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