Write the equation, in standard form, of an ellipse whose major axis has endpoints of (3,1) and (3,11) and whose minor axis is 2 units long.

Question

Write the equation, in standard form, of an ellipse whose major axis has endpoints of (3,1) and (3,11) and whose minor axis is 2 units long.

Answer 1

The center of this vertical ellipse is then at (3,6), a = 10/2 = 5, and b = 2/2 = 1. Equation is (x-3)² /1 + (y-6)² /25 = 1.