For the lines represented by the equation x^2 - 2xy + y^2 = 0, the angle between

For the lines represented by the equation x^2 - 2xy + y^2 = 0, the angle between them is:

For the lines represented by the equation x^2 - 2xy + y^2 = 0, the angle between them is:

Step 1: Start with the given equation: x^2 - 2xy + y^2 = 0.
Step 2: Factor the equation to find the lines it represents. This can be done by rewriting it as (x - y)^2 = 0.
Step 3: From the factored form, identify the lines. The equation (x - y)^2 = 0 represents the line x = y.
Step 4: Since there is only one line (x = y), the angle between the same line is 0 degrees.
Step 5: If there were two distinct lines, we would find their slopes and use the formula for the angle between two lines, but in this case, we only have one line.

Quadratic Equations – Understanding how to manipulate and analyze quadratic equations to find their roots and slopes.
Angle Between Lines – Using the slopes of lines to calculate the angle between them using the formula involving the tangent of the angle.