Question

Q8: Identify the graph of the equation. What is the angle of rotation for the equation?

Answer 1

B. hyperbola, 45°

Explanation:

This is rotation in quadratic equations

Perform elimination of xy term

Ax² +B xy+Cy²+Dx+Ey+F=0

Rotation of axes of the coordinates through angle θ to satisfy

Cot 2θ =(A-C)/B

But B≠ 0 and A=C=0

Answer will be hyperbola, 45°