#### 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)

Is there an error in this question or solution?

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.