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Coordinate Of A Point

A number pair which represents the location of a Point in two - dimensional space is known as coordinates of a point.
Suppose we have Coordinate of a Point R (5, -9) then it defines the location of points.
Where ‘R’ is the name and the Numbers in the bracket is the ‘x’ and ‘y’ coordinates. The first number or x – coordinate denotes how far the horizontal axis is and y- coordinates denote how long up and down the axis is.
The x – axis or horizontal is also known as Abscissa of the points.
The y – axis or vertical horizontal is also known as ‘ordinate’ of the points.
When we have two pairs in a plane and we want to find the Distance between two points then we can find the distance between two points.
Formula is given for finding the distance between two points is:
   D = √ (u2 - u1)2 + (v2 - v1)2;
And in the case of three coordinates (u1, v1, w1) and (u2, v2, w2) the formula for finding the distance is given by:
   D = √ (u2 - u1)2 + (v2 - v1)2+ (w2 - w1)2;
Now we will see how to find the distance between the points;
Let the coordinates of points are (-3, -2) and (1, 6) then we have to find the distance between two points.
We know that the coordinates of the points is (u1, v1) and (u2, v2);
Here the value of u1 = -3;
And the value of u2 = 1;
The value of v1 = -2;
The value of v2 = 6;
Then the distance between two points is:
The formula for finding the distance between two points is:
   D = √ (u2 - u1)2 + (v2 - v1)2;
Then put the values in the given formula:
   D = √ (1 - 5)2 + (6 – (-2))2;
On further solving we get:
   D = √ (-4)2 + (8)2;
   D = √ 16 + 64;
   D = √80;
   D = 8.94
So the distance is 8.94.
Using this formula we can find the distance between points.

Topics Covered in Coordinate Of A Point

Abscissa

Before understanding the meaning of abscissa coordinate it is necessary to know about the coordinate plane. A rectangular plane which consists of two number lines i.e. vertical number line and the horizontal number line is known as Coordinate Plane. As we know that horizontal line is represented by the x - axis which is also said to be abscissa and vertical line is known as Ord...Read More

Ordered Pair

A Set of Numbers that is used to initiate a Point on a coordinate plane is called as ordered pair. In other words, we can say that two numbers written in the proper definite order, generally the number written in the parentheses in this form (5, 8), then numbers is known as ordered pair. 
An ordered pair Math is basically written in the form of (a, b) where 'a’ denotes the...Read More

The Coordinate Plane Quadrants

Coordinate axis 'x' and 'y'. y- axis is generally perpendicular to x- axis . Point of Intersection is called origin or center with coordinate (0, 0). Plane of coordinate system is divided into four quadrants like 1st quadrant where x- axis and y- axis both are positive, that means if we draw any Point in 1st quadrant then we get coordinate points with posi...Read More

Coordinate of a Point on a Circle

Circle is a figure that represents a conic section. The general equation of a Circle can be given as: (X - H)2 + (Y - K)2 = R2. Where, (H, K) represents the Center of Circle other than origin and 'R' is the Radius of Circle. If center of the circle was (0, 0), equation can be written as: (X)2 + (Y)2 = R2. A circle can be defined as Set of all those poin...Read More

Coordinate of a Point on a Line

Coordinate of a Point on a line is calculated with the help of section formula or Ratio formula.Let us consider a point 'P' which divides a Line Segment between two points 'A' and 'B' in a ratio 'a' and 'b'. A point can cut the line externally or internally.
Section formula for same is defined below:

Ratio formula when Line Segment is divided external...Read More

Ordinate

Coordinate plane can be defined as a rectangular plane that consists of two number lines that is vertical number line and horizontal number line. Horizontal number line is called x-axis also known as Abscissa and vertical number line is known as ordinate which is y-axis. Number line consists of Positive and Negative Numbers. In case of horizontal number line positive numbers ar...Read More

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