Rotation of Axes
1 Identify Conics Without Completing the Square
-$$5 x ^ { 2 } - 6 y ^ { 2 } + 2 x - 3 y - 5 = 0$$
A) hyperbola
B) circle
C) ellipse
D) parabola

Question

Quizplus · Accepted Answer

The given equation is a conic section, and the type of conic can be determined by the coefficients of $x^2$ and $y^2$. Since the coefficients are of opposite signs ($5x^2$ and $-6y^2$), this indicates a hyperbola.

Rotation of Axes 1 Identify Conics Without Completing the Square 5x2−6y2+2x−3y−5=05 x ^ { 2 } - 6 y ^ { 2 } + 2 x - 3 y - 5 = 05x2−6y2+2x−3y−5=0

Rotation of Axes
1 Identify Conics Without Completing the Square $5 x ^ { 2 } - 6 y ^ { 2 } + 2 x - 3 y - 5 = 0$