Table of Contents
How do you find the intersection point of locus?
Algorithm to Find Point of Intersection:
- To find the point of intersection (a, 0) on x-axis put x = a and y = 0, in the equation of locus. Find the value of a, then (a, 0) is the point of intersection of the locus with the x-axis.
- To find the point of intersection on y-axis put x = 0 and y = b in the equation of locus.
What is the set of all points equidistant from two intersecting lines in the plane?
A locus is a set of points which satisfies a certain condition. The locus equidistant from two intersecting lines, m1 and m2, is the pair of lines which bisect the angles formed by lines m1 and m2. This theorem asks you to “describe the path formed by all points located the same distance for 2 intersecting lines”.
What is the locus of two parallel lines?
Two parallel lines: The locus of points equidistant from 2 parallel lines is a line parallel to both given lines and midway between them. Two intersecting lines: The locus of points equidistant from 2 intersecting lines is a pair of perpendicular lines that bisect the angles formed by the intersecting lines.
What does locus of points mean?
A locus is the set of all points (usually forming a curve or surface) satisfying some condition. For example, the locus of points in the plane equidistant from a given point is a circle, and the set of points in three-space equidistant from a given point is a sphere.
What is locus of a point in mathematics?
In mathematics, a locus of points is a set of points that all satisfy some given condition or property. Some examples of loci of points are the set of all points the same distance from a point; the set of all points satisfying a given equation; or the set of all points that are the same distance from two given points.
What are the 5 rules of locus in geometry?
There are five fundamental locus rules. Rule 1: Given a point, the locus of points is a circle. Rule 2: Given two points, the locus of points is a straight line midway between the two points. Rule 3: Given a straight line, the locus of points is two parallel lines.
What is the locus of a point on a graph?
Rule 1: Given a point, the locus of points is a circle. Rule 2: Given two points, the locus of points is a straight line midway between the two points. Rule 3: Given a straight line, the locus of points is two parallel lines.
How do you find the intersection of two loci?
Intersection of two loci. Sometimes you may be required to determine the locus of a point that satisfies two or more conditions. We could do this by constructing the locus for each of the conditions and then determine where the two loci intersect.
What is the locus of a point between two parallel lines?
Rule 4: Given two parallel lines, the locus of points is a line midway between the two parallel lines. Rule 5: Given two intersecting lines, the locus of points is a pair of lines that cut the intersecting lines in half. Sometimes you may be required to determine the locus of a point that satisfies two or more conditions.