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

Question

Quizplus · Accepted Answer

The given equation is a hyperbola because the coefficients of $x^2$ and $y^2$ are of opposite signs (2 and -3), indicating that the graph opens along two axes, characteristic of a hyperbola.

Rotation of Axes 1 Identify Conics Without Completing the Square 2x2−3y2+5x+2y+3=02 x ^ { 2 } - 3 y ^ { 2 } + 5 x + 2 y + 3 = 02x2−3y2+5x+2y+3=0

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