Table of Contents
- 1 How do you find the locus of points equidistant from two points?
- 2 What is the locus of all points equidistant from a given point?
- 3 What is locus of an equation?
- 4 What is the equation to the locus under the given conditions?
- 5 What is an example of a locus in geometry?
- 6 How to find the locus of a point from the origin?
How do you find the locus of points equidistant from two points?
The locus of points equidistant from two given points is the perpendicular bisector of the segment that joins the two points.
What is the locus of all points equidistant from a given point?
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 an equation?
Equation to a Locus. Thus, finding out the equation to a locus means finding out the relation that holds true between the x and y coordinates of all points on the locus.
What is locus in coordinate geometry?
In geometry, a locus (plural: loci) (Latin word for “place”, “location”) is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.
What is coordinate algebra?
Coordinate Algebra is a state-designed mathematics course that develops students’ mathematical understanding of algebraic concepts alongside statistics applications and includes coordinate geometry to bridge into more in-depth geometrical topics in other successive high school math courses.
What is the equation to the locus under the given conditions?
⇒ x2 + y2 = 16 Therefore, the equation to the locus under the given conditions is x2 + y2 = 16. Example 3 Find the locus of a point such that it is equidistant from two fixed points, A (1, 1) and B (2, 4).
What is an example of a locus in geometry?
Many geometric shapes are most naturally and easily described as loci. For example, a circle is the set of points in a plane which are a fixed distance P, P, the center of the circle. Problems involving describing a certain locus can often be solved by explicitly finding equations for the coordinates of the points in the locus.
How to find the locus of a point from the origin?
Example 2 Find the locus of a point which is at a fixed distance 4 from the origin. This locus (or path) was a circle. To find its equation, we’ll start by converting the given condition into a mathematical form, using the formulas we know. Let P (x, y) be the moving point.
How to find the y-coordinate of a moving point?
Example 1 Find the locus of the point moving on a plane which is at a fixed distance 5 units from a the X axis. Let P (x, y) be the moving point. Now, the distance of this point from the X axis is its y -coordinate.