CPM Homework Help : A2C Problem 11-165

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Home > A2C > Chapter 11 > Lesson 11.3.4 > Problem 11-165

11-165.

Create an equation and its corresponding graph (in any order) for each of the following conic sections.

Hint:

For the following problems, use the general equation $Ax^{2} + By^{2} + Dx + Ey + F = 0$ . Reminder: Uncheck the example before moving on to the next question.

Circle
Hint (a):
In a circle with the center at $\left(0, 0\right)$ , $A = B$ , and $D = E = 0$ , and $F \lt 0$ .
Example (a):

Line
Hint (b):
In a linear equation, $A = B = 0$ .
Example (b):

Parabola
Hint (c):
In a sleeping parabola, $A = 0$ and $B ≠ 0$ .
Example (c):

Hyperbola
Hint (d):
In a horizontal hyperbola, $A \gt 0$ , $B \lt 0$ , and $F \lt 0$ .
Example (d):

Ellipse
Hint (e):
In an ellipse, $D = 0$ , $E = 0$ , $A ≠ 0$ , and $B ≠ 0$ .
Example (e):

Two intersecting lines
Hint (f):
Write the equations of two lines and multiply.
Example (f):

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