Question

Consider a curve $C : x ^2+ xy +4=0$ and identify the correct statement(s) about the curve $C$ '.

• A. The curve has exactly two asymptotes.
• B. If the line $y=m x$ intersects the curve at two distinct points then $m \in(-\infty,-1)$.
• C. The curve does not have any horizontal asymptotes.
• D. The curve has no point of inflection.

Answer 1

Answer: (A), (B), (C), (D)

$C: x^2+x y+4=0$