Identify Conics Without Rotating Axes
-$$x ^ { 2 } - 9 x y + 3 y ^ { 2 } - 14 = 0$$
A) hyperbola
B) parabola
C) ellipse
D) circle

Name: Identify Conics Without Rotating Axes -\[x ^ { 2 } - 9 x y + 3 y ^ { 2 } - 14 = 0\] A) hyperbola B) parabola C) ellipse D) circle
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Question

Quizplus · Accepted Answer

The given equation is of a hyperbola because it represents a conic section with a negative determinant when considering the coefficients of $x^2$, $xy$, and $y^2$, indicating a hyperbolic shape.

Identify Conics Without Rotating Axes - x2−9xy+3y2−14=0x ^ { 2 } - 9 x y + 3 y ^ { 2 } - 14 = 0x2−9xy+3y2−14=0

Identify Conics Without Rotating Axes
- $x ^ { 2 } - 9 x y + 3 y ^ { 2 } - 14 = 0$