Answer:
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°