NEILS BOHR said:Homework Statement
what is the relation between complex slopes of two perpendicular lines?? :think:
Homework Equations
The Attempt at a Solution
i think it is same as the slopes of two st. lines that is the product shud be -1...but the answer given is sum of slopes is 0...
The relation between complex slopes of perpendicular lines is that they are negative reciprocals of each other. This means that if one slope is represented by m, the other slope will be represented by -1/m.
To determine the complex slope of a perpendicular line, you can use the negative reciprocal rule. First, find the slope of the given line. Then, take the negative reciprocal of that slope to find the slope of the perpendicular line.
No, two perpendicular lines cannot have the same complex slope. As mentioned before, the slopes of perpendicular lines are negative reciprocals of each other. Therefore, if two lines have the same slope, they cannot be perpendicular.
The complex slopes of perpendicular lines have a significant role in geometry and trigonometry. They help in determining the angle of intersection between two lines and are also useful in solving various mathematical problems.
The complex slope of a perpendicular line affects its graph by making it perpendicular to the original line. This means that the two lines will intersect at a 90-degree angle. Additionally, the negative reciprocal slopes will result in the lines mirroring each other on a graph.