Question

Identify the conic section that is represented by the equation: x^2 - 3y^2 - 6x + 2y - 5 = 0.
a. hyperbola
b. Parabola
c. Ellipse
d. circle

Answer 1

can't be a circle because the x^2 and y^2 coefficients are not equal. Can't be a parabola because a parabola would have either x^1 and y^2 or x^2 and y^1 Must be either an ellipse of hyperbola.

Answer 2

Since the x^2 and y^2 are not the same sign, it must be a hyperbola.