###
**Co-ordinate Geometry Problems are
asked in SSC CGL and other SSC Exams, which makes it an important topic for you.
Read on for an introduction to co-ordinate geometry along a list of important
terms and understanding of the Cartesian system.**

Questions
from co-ordinate geometry are asked in all SSC Exams which makes it imperative
for you understand the basics of this topic to solve co-ordinate geometry
problems. Co-ordinate Geometry or Analytic Geometry is a way to study geometry through
a co-ordinate system. A co-ordinate system is a system, where we use a set of
values or numbers to uniquely locate the position of the point in the given plane
or space. There different kinds of systems used in co-ordinate geometry, but
the most common one is called the Cartesian System.

So in this
series on co-ordinate geometry we start with discussing- what is co-ordinate
geometry, the important terms in co-ordinate geometry and some concepts that
will help you solve co-ordinate geometry problems.

###
**What is Co-ordinate Geometry?**

In the Cartesian
co-ordinate system in co-ordinate geometry, the plane is described with the
help of two mutually perpendicular lines. Any point in this plane can be easily
located with the help of two numerical values know as co-ordinates. These
points denote the distance of the point from these two mutually perpendicular points.

###
**Important Terms in Cartesian Co-ordinate
Geometry**

Before we move
ahead with understanding the concepts in Cartesian system of co-ordinate
geometry, we need to discuss some important terms that constitute co-ordinate
geometry.

**A point on this plane is represented by a set of**

*Co-ordinates-***that determine its distance from the two lines. It is a pair of digits separated by a comma.**

*co-ordinates*

**- The point in the centre where the two lines, one horizontal and one vertical, intersect is known as the**

*Origin (O)***. It is represented by the letter ‘O’ and is represented by the co-ordinates (0,0).**

*origin*

**- A flat, two dimensional surface that extends infinitely, where any point can be plotted with the help of co-ordinates is called a**

*Plane (P)***. It is represented by the letter ‘P’.**

*plane*

**– The two lines, horizontal and vertical, from which the distance of the points in the plane is measured, are called the**

*Co-ordinate Axis***.**

*co-ordinate axis*

**- The horizontal line that extends up to infinity from left and right, is called the**

*Horizontal Axis (X)***. It is represented by the letter ‘X’.**

*horizontal axis or x axis*

**- The vertical line that extends up to infinity from top and bottom, is called the**

*Vertical Axis (Y)***. It is represented by the letter ‘Y’.**

*vertical axis or y axis*

**- The two mutually perpendicular axis divide the plan in four parts. Each of this region/ part is known as a**

*Quadrants (Q)***. It is represented by the letter ‘Q’.**

*quadrant*

**- In**

*Quadrant 1 (Q*_{1})**, x-axis is positive and y-axis is positive. It is represented by**

*Quadrant 1***.**

*Q*_{1}

**- In**

*Quadrant 2 (Q*_{2})**, x-axis is negative and y-axis is positive. It is represented by**

*Quadrant 2***.**

*Q*_{2}

**- In**

*Quadrant 3 (Q*_{3})**, x-axis is negative and y-axis is negative. It is represented by**

*Quadrant 3*

*Q*_{3}.

**- In**

*Quadrant 4 (Q*_{4})**, x-axis is positive and y-axis is negative. It is represented by**

*Quadrant 4***.**

*Q*_{4}

**- An**

*Ordered Pair (x, y)***represents a particular point of the plane in a quadrant. It is written as**

*ordered pair***where**

*(x, y),***represents the value on the x-axis and**

*‘x’***represents the value on the y-axis.**

*‘y’*

**- In a ordered pair,**

*Abscissa (x)***is the**

*‘x’***, it represents the distance of a point from the y-axis and is measured parallel to the x-axis.**

*abscissa*

**- In a ordered pair,**

*Ordinate (y)***is the**

*‘y’***, it represents the distance of a point from the x-axis and is measured parallel to the y-axis.**

*ordinate*###
**Understanding the Cartesian System in
Co-ordinate Geometry**

Now that we
have discussed some important terms in co-ordinate geometry, let’s move on to understanding
some key concepts. Understanding of these concepts of co-ordinate geometry is essential
for solving problems.

The origin
is represented by (0, 0) as it is at 0 units distance from both the y-axis and
the x-axis. Similarly, if we consider an ordered pair A(2, 0), here the
distance from the y-axis is 2 but there is no distance from the x-axis. The point
is on the x-axis itself. Vice Versa, in the ordered pair B(0, 6), the distance
from y-axis is zero as the point is on the y axis.

Point M in Q

_{2}represents the ordered pair (-4, 3) where the numbers denote the distance from the y-axis and x-axis respectively. In Q_{3}the ordered pair (-3, -1) is represented by N where -3 and -1 represent the distance from the y-axis and the x-axis. R is Q_{4 }is represented by (3, -6) where the distance from the y-axis and the x-axis is 3 and 6 respectively. You must remember that the signs in ordered pairs merely indicate the quadrant the point is in. This is how any point is represented on the plane in Cartesian form in co-ordinate geometry.
Stay tuned for
the next blog where we discuss questions in co-ordinate geometry that are asked
in competitive exams.

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