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Locus of points equidistant from a point?
circle
What is the locus of points at a given distance of a line?
The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.
What is the definition of parabola?
There are several ways of defining a parabola. Here are some:Given a straight line and a point not on that line, a parabola is the locus of all points that are equidistant from that point (the focus) and the line (directrix).A parabola is the intersection of the surface of a right circular cone and a plane parallel to a generating line of that surface.A parabola is the graph of a quadratic equation.
What is the locus of all points that are a fixed distance from a given point?
triangle
What is the locus of the centers of circles that are tangent to a given circle O at a given point A on circle O?
Join the centre of the circle O and the point A .Extend it to both sides to form a line.This is the required locus
The locus of points which are are the same distance from a point and a line is called a?
parabola
The locus of points that are the same distance from a point and a line is a .?
The locus of points that are the same distance from a point and a line is a parabola. In this scenario, the point acts as the focus of the parabola, while the line serves as the directrix. The shape of the parabola opens away from the line, with all points on the curve equidistant from both the focus and the directrix.
Has length but no width and no thickness?
An ideal line also known as the locus of an ideal point
A line is the locus of points which what?
A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant. Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
What is the locus point equidistant from two points AB that are 8 cm apart?
The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
What is the locus of a point maths?
The locus of a point is the set of all positions that the point can occupy where it satisfies some defining function.
What does parabola mean in mathematical terms?
It is the locus of all points such that their distance from a fixed line (the directrix) is the same as their distance from a fixed point which is not on that line (the focus).
How do you prove mathematically that a point or a link in a mechanism is traveling in a straight line?
You find the locus of the point over time and either through geometrical or algebraic reasoning demonstrate that the result is a straight line.
Is it true that the locus of points idea can be used to define straight lines circles and even more complex shapes such as parabolas?
Yes, the locus of points concept can be used to define various geometric shapes. A straight line can be defined as the locus of points equidistant from two fixed points, while a circle is the locus of points equidistant from a single fixed point (the center). More complex shapes, such as parabolas, can also be defined as loci; for instance, a parabola can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).
Locus of a point equidistant from a point?
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
What is the locus of a moving point so that the distance between it and a line is equal to the distance between it and a fixed point?
It is going to look like a somewhat of a quadratic parabola.
Locus of points equidistant from a point?
circle
