Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (0,4), (8,4); minor axis of length 10.

Question

Find the standard form of the equation of the ellipse with the given characteristics.

Vertices: (0,4), (8,4); minor axis of length 10.

Answer 1

This problem is impossible, as the length of the major axis is 8 and the length of the minor axis is 10.

Answer 2

2a = 10; a = 5; 2b = 8 - 0 = 8; b = 4; Center ((8 + 0)/2, 4) = (4, 4).

Equation: (x - 4)²/16 + (y - 4)²/25 = 1