# What is the locus of a point equidistant from the given point?

Table of Contents

## What is the locus of a point equidistant from the given point?

The locus of a point which is equidistant from two fixed points is the perpendicular bisector of the line segment joining the two fixed points. Given, PQ is the path traced out by the moving point P such that each point on it is equidistant from X and Y.

## How do you find the locus of points equidistant from a point and a line?

The locus of points equidistant from two points is simply the perpendicular bisector of the line segment with these two points as endpoints. The locus of points equidistant from two points is simply the perpendicular bisector of the line segment with these two points as endpoints.

## What figure is the locus of all points that are equidistant from two fixed points?

The locus of all the points that are at a fixed distance from a fixed point is a circle. The locus of all the points that are equidistant from two points is the perpendicular bisector of the line segment joining the given two points.

## What is the formula of equidistance?

The distance between any two given points can be calculated with the help of the distance formula: d = √[(x2−x1)2+(y2−y1)2] √ [ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 ] ; here [x1 x 1 and y1 y 1 )] are the coordinates of one point and [x2 x 2 and y2 y 2 ] are the coordinates of the other point.

## What point is equidistant from the sides of a triangle?

incenter

## What is the Orthocentre of a triangle?

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. There are therefore three altitudes in a triangle.

## How do you calculate the centroid?

To calculate the centroid of a combined shape, sum the individual centroids times the individual areas and divide that by the sum of the individual areas as shown on the applet. If the shapes overlap, the triangle is subtracted from the rectangle to make a new shape.

## Which point of concurrency is equidistant from the three vertices of a triangle?

circumcenter