Step 1:

(a)

The conic equation is

Compare it to general form of conic equation  .

and are differnt signs the equation is ellipse.

Step 2:

(b) The conic equation is

Write the equation in quadratic form

Roots are

Solution :

(a) The conic equation is ellipse.

(b) .

Step 1:

(c) Choose random values for and solve for .

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Graph:

Draw the coordinate plane.

Plot the points and connect the plotted points.

Solution :