Question

Consider the two curves represented by the equations that are not superellipses. State the type of curve produced each time.

1. |x/2|^2+|y/2|^2=1

2. |x/3|^2 + |y/2|^2 = 1

Answer 1

1. The curve presented in the first number is an ellipse with the major axis equal to 2 and the minor axis equal to 2. The vertex is at (0,0).
2. The curve presented in the second number is an ellipse with the major axis equal to 3 and the minor axis equal to 2. The vertex is at (0,0).