Eqn 2x^2 + Cy^2 + Dx + Ey + F = 0 represents a conic.

[kathy's]

The equation 2x^2 + Cy^2 + Dx + Ey + F = 0 represent a conic. State the value(s) of C for which each of the following are possible:

A circle:
My answer: C = 2

an ellipse:
My answer: c>0, cant equal 2

Parabola:
My answer:c=0

a hyperbola:
My answer: c<o ( any negative number)

Are these correct? Thank you!

 

[stapel]

I agree with your solutions. Just make sure you can provide your reasoning, if necessary.

Eliz.