### Home > A2C > Chapter Ch11 > Lesson 11.3.3 > Problem 11-156

11-156.

Find values of

*A*,*B*,*D*,*E*, and*F*in the equation*Ax*^{2}+*By*^{2}+*Dx*+*Ey*+*F*= 0 to create each of the following conic sections. Homework Help ✎Line

Point

Circle

Ellipse

Parabola

Hyperbola

Write an equation for a line then convert it into this general form.

*y* = *x*

0*x*^{2} + 0*y*^{2} − *x* + *y* + 0 = 0*A* = 0, *B* = 0, *D* = −1, *E* = 1, *F* = 0

Now create your own example.

See part (a).

What kind of equation defines a point?

*x*^{2} + *y*^{2} = 0*x*^{2} + *y*^{2} + 0*x* + 0*y* + 0 = 0*A* = 1, *B* = 1, *D* = 0, *E* = 0, *F* = 0

Now create your own example.

See part (a).

See part (a).

See part (a).

See part (a).

*y*^{2} − *x*^{2} = 1

−*x*^{2} + *y*^{2} = 0*x* + 0*y* −1 = 0*A* = −1, *B* = 1, *D* = 0, *E* = 0, *F* = −1

Now create your own example.