Question

Sketch  (if  possible)  the  graph  of  the degenerate conic.

x^2 - 2xy + y^2 = 0

Answer 1

Step 1:

The conic equation is

Write the equation in quadratic form .

.

Solutions are .

.

Degenerate form of the conic equation is .

Step 2:

Graph the equation .

Choose random values for and solve for .

Graph:

Draw the coordinate plane.

Plot the points found in the table.

Connect the line.

Solution: