In Example 1, change the − before the 2y² to + and then determine what type of curve is represented.

Data from Example 1

The equation 2x² = 3 − 2y² represents a circle. This can be seen by putting the equation in the form of Eq. (21.34). This form is

We see that A = C. Also, since there is no xy-term, we know that B = 0. This means that the equation represents a circle. If we write it as x² + y²  = 3/2, we see that it fits the form of Eq. (21.12). The circle is shown in Fig. 21.91.

A = 2 2x + 2y 3 = 0 - L c = 2