I am need of help!
the equation 2x^2+cy^2+dx+ey+f=0 represents a conic state the values of c for which each of the following are possible
a) circle
b) ellipse
c) parabola
d) hyperbola
so I am not sure but here is my guess:
a) circle: c=90
b) ellipse: c=50
c) parabola c=?
d) hyperbola c=?
I am not even sure?
Hello, bay!
Evidently, you need help . . .
The equation represents a conic.
State the values of for which each of the following are possible.
a) circle . . b) ellipse . . c) parabola . . d) hyperbola
a) Circle
The coefficients of and must be equal.
. . Hence: .
b) Ellipse
The coefficients of and must have the same sign but unequal.
. . Hence: . . (any positive number except 2)
c) Parabola
Either the coefficient of or the coefficient of must be zero.
. . Hence: .
d) Hyperbola
The coefficients of and must have oppsite signs.
. . Hence: . . (any negative number)