Question

Consider the curve defined by x² xy y² = 27.

A) Ellipse
B) Hyperbola
C) Parabola
D) Circle

Answer 1

The equation x² + xy + y² = 27 represents an ellipse.

Step-by-step explanation:

The equation x² + xy + y² = 27 represents an ellipse. An ellipse is a closed curve such that the sum of the distances from a point on the curve to the two foci is constant. In this case, the two foci are each located at a distance of √27 units away from the center.