# Coordinates of a Point in a Plane

How to determine the coordinates of a point in a plane?

$$\overrightarrow{XOX'}$$ and $$\overrightarrow{YOY'}$$ represent the co-ordinate axes. P be a point in the plane of the graph paper.

Draw $$\overline{PM}$$ ┴ $$\overrightarrow{YOY'}$$ and $$\overline{PN}$$ ┴ $$\overrightarrow{XOX'}$$.

Length of $$\overline{ON}$$ is called the x- co-ordinate or abscissa of point P. Here $$\overline{ON}$$ = 2 units.

Length of $$\overline{OM}$$ is called the y-co-ordinate or ordinate of P. Here $$\overline{OM}$$ = 4 units.

Thus, the co-ordinates of point P are (2, 4) which is called an ordered pair.

So, the positions of the coordinates of a point in a plane cannot be interchanged as (4, 2).

Remember, if the distance of P from y-axis is ‘a’ and units the distance of P from the x-axis is ‘b’ units then the co-ordinates of point P are (a, b) where a denotes the x-co-ordinate or abscissa and b denotes the y-co-ordinate or ordinate.

Thus, we can define abscissa as distance of P from y-axis and ordinate as the distance of P from x-axis.

Point on x-axis: If we take any point on x-axis, then the distance of this point from x-axis is zero i.e., y-co-ordinate of every point on x-axis is zero.

Therefore, the co-ordinates of a point on x-axis are of the form (x, 0)

Point on y-axis: If we take any point on y-axis, then the distance of this point from y-axis is zero i.e., x-co-ordinate of every point on y-axis is zero.

Therefore, the co-ordinates of a point on y-axis are of the form (0, y).

Related Concepts:

Coordinate Graph

Signs of Coordinates

Find the Coordinates of a Point

Plot Points on Co-ordinate Graph

Graph of Linear Equation

Simultaneous Equations Graphically

Graphs of Simple Function

Graph of Perimeter vs. Length of the Side of a Square

Graph of Area vs. Side of a Square

Graph of Simple Interest vs. Number of Years

Graph of Distance vs. Time

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Method of H.C.F. |Highest Common Factor|Factorization &Division Method

Apr 13, 24 05:12 PM

We will discuss here about the method of h.c.f. (highest common factor). The highest common factor or HCF of two or more numbers is the greatest number which divides exactly the given numbers. Let us…

2. ### Factors | Understand the Factors of the Product | Concept of Factors

Apr 13, 24 03:29 PM

Factors of a number are discussed here so that students can understand the factors of the product. What are factors? (i) If a dividend, when divided by a divisor, is divided completely

3. ### Methods of Prime Factorization | Division Method | Factor Tree Method

Apr 13, 24 01:27 PM

In prime factorization, we factorise the numbers into prime numbers, called prime factors. There are two methods of prime factorization: 1. Division Method 2. Factor Tree Method

4. ### Divisibility Rules | Divisibility Test|Divisibility Rules From 2 to 18

Apr 13, 24 12:41 PM

To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4…