Question

Rotate the coordinate axes to remove the xy-term from xy = −9. Identify the type of conic and sketch its graph.

Answer 1

Answer:

To eliminate this xy-term, you can use a procedure called rotation of axes. The objective is to rotate the x- and y-axes until they are parallel to the axes of the conic. A′(x′)2 + C′(y′)2 + D′x′ + E′y′ + F′ = 0. Because this equation has no xy-term, you can obtain a standard form by completing the square