Question

Identify the conic section that is represented by the equation x^2 3y^2 + 6x + 2y - 5 = 0
a. Hyperbola
b. Paraabola
c. Ellipse
d. Circle

Answer 1

Is there a plus sign between the x^2 and 3y^2?

Answer 2

yes there is.

Answer 3

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 4

Since the x^2 and y^2 terms have the same sign, it must be an ellipse.