Identify Conics Without Rotating Axes
-$14 x ^ { 2 } + 12 \sqrt { 3 } x y + 2 y ^ { 2 } - 29 = 0$
A) hyperbola
B) parabola
C) ellipse
D) circle

Name: Identify Conics Without Rotating Axes -$14 x ^ { 2 } + 12 \sqrt { 3 } x y + 2 y ^ { 2 } - 29 = 0$ A) hyperbola B) parabola C) ellipse D) circle
Brand: Quizplus
Rating: 4.7 (32 reviews)

Question

Quizplus · Accepted Answer

The given equation is of a hyperbola because the coefficients of $x^2$ and $y^2$ have opposite signs, indicating that the graph opens along two opposite directions, characteristic of a hyperbola.

Identify Conics Without Rotating Axes - 14x2+123xy+2y2−29=014 x ^ { 2 } + 12 \sqrt { 3 } x y + 2 y ^ { 2 } - 29 = 014x2+123​xy+2y2−29=0

Identify Conics Without Rotating Axes
- $14 x ^ { 2 } + 12 \sqrt { 3 } x y + 2 y ^ { 2 } - 29 = 0$