For the lines represented by the equation x^2 - 2xy + y^2 = 0, the angle between them is:
Practice Questions
1 question
Q1
For the lines represented by the equation x^2 - 2xy + y^2 = 0, the angle between them is:
0 degrees
45 degrees
90 degrees
180 degrees
The angle can be calculated using the slopes derived from the equation.
Questions & Step-by-step Solutions
1 item
Q
Q: For the lines represented by the equation x^2 - 2xy + y^2 = 0, the angle between them is:
Solution: The angle can be calculated using the slopes derived from the equation.
Steps: 5
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.
