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

100 161 Conic Sections Report Error

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.

Solution:

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

Solution Image