Identify Conics Without Rotating Axes
-$3 x ^ { 2 } - 7 x y + 3 y ^ { 2 } - 4 x - 4 y + 5 = 0$
A) hyperbola
B) ellipse
C) circle
D) parabola

Question

Quizplus · Accepted Answer

The given equation represents a hyperbola because the coefficients of $x^2$ and $y^2$ are the same in magnitude but have opposite signs, and the equation cannot be simplified into the standard form of a circle, ellipse, or parabola without rotating the axes.

Identify Conics Without Rotating Axes - 3x2−7xy+3y2−4x−4y+5=03 x ^ { 2 } - 7 x y + 3 y ^ { 2 } - 4 x - 4 y + 5 = 03x2−7xy+3y2−4x−4y+5=0

Identify Conics Without Rotating Axes
- $3 x ^ { 2 } - 7 x y + 3 y ^ { 2 } - 4 x - 4 y + 5 = 0$