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 right thanks!

You are exactly correct!

You are right on the money nice job