Let R be the region in the first quadrant bounded by the ellipse x 2 a 2 y 2 b 2 1 Find the value of m (in terms of a and b) such that the line y mx divides R into two subregions of equal area

Question: Let R be the region in the first quadrant bounded by the ellipse x 2 /a 2 + y 2 /b 2 = 1. Find

Let R be the region in the first quadrant bounded by the ellipse x²/a² + y²/b² = 1. Find the value of m (in terms of a and b) such that the line y = mx divides R into two subregions of equal area.

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