If AB is the chord passing through the center of the ellipse x2 / A + Y2 / B2 = 1 and F1 (C, 0) is the focus of the ellipse, then the area of the triangle f1ab is the maximum

If AB is the chord passing through the center of the ellipse x2 / A + Y2 / B2 = 1 and F1 (C, 0) is the focus of the ellipse, then the area of the triangle f1ab is the maximum

Because AB is the chord passing through the center of the ellipse x2 / A + Y2 / B2 = 1, F1 (C, 0) is the focus of the ellipse, and △ f1ab has the largest area
So a (0, b) B (0, - b)
The area of triangle f1ab can be expressed as: 1 / 2 | ab | * | of 1 | = 1 / 2 * 2B * C = BC