Use the Principal Axes Theorem to Perform a Rotation of Axes

Multiple Choice

Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation . Identify the resulting rotated conic and give its equation in the new coordinate system.

A) Ellipse;
B) Hyperbola;
C) Ellipse;
D) Hyperbola;
E) Ellipse;