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

11-156.
  1. Find values of A, B, D, E, and F in the equation Ax2 + By2 + Dx + Ey + F = 0 to create each of the following conic sections. Homework Help ✎

    1. Line

    2. Point

    3. Circle

    4. Ellipse

    5. Parabola

    6. Hyperbola

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

y = x
0x2 + 0y2x + 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?

x2 + y2 = 0
x2 + y2 + 0x + 0y + 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).

y2x2 = 1
x2 + y2 = 0x + 0y −1 = 0
A = −1, B = 1, D = 0, E = 0, F = −1
Now create your own example.