Question

Determining the Conic Type from General Form

Identify the conic section that is represented by the equation.


2x^2 – 4x + 5y^2 – 3y + 2 = 0


circle

ellipse

parabola

hyperbola


Answer: B "ellipse"

Answer 1

photo

Explanation:

Answer 2

to check what type of conic it may be, we first check the squared variables, their coefficents and sign.

in this case 2x² and 5y² are both positive, that means we have either an ellipse or a circle.

if the coefficients are equal, boinggggg! we have a circle, or if you wish an ellipse with equal axes.

if the coefficients are different, like in this case, we have an ellipse.