###
**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.

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.

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.

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.

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

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.

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**

*Co-ordinates-*by a set of

**that determine its distance from the two lines. It**

*co-ordinates*is a pair of digits separated by a comma.

**– The point in the centre where the**

*Origin (O)*two lines, one horizontal and one vertical, intersect is known as the

**.**

*origin*It is represented by the letter ‘O’ and is represented by the co-ordinates

(0,0).

**– A flat, two dimensional surface**

*Plane (P)*that extends infinitely, where any point can be plotted with the help of

co-ordinates is called a

**. It is represented by the**

*plane*letter ‘P’.

**– The two lines, horizontal and**

*Co-ordinate Axis*vertical, from which the distance of the points in the plane is measured, are

called the

**.**

*co-ordinate axis*

**– The horizontal line that extends up**

*Horizontal Axis (X)*to infinity from left and right, is called the

**.**

*horizontal axis or x axis*It is represented by the letter ‘X’.

**– The vertical line that extends up to**

*Vertical Axis (Y)*infinity from top and bottom, is called the

**.**

*vertical axis or y axis*It is represented by the letter ‘Y’.

**– The two mutually perpendicular axis**

*Quadrants (Q)*divide the plan in four parts. Each of this region/ part is known as a

**.**

*quadrant*It is represented by the letter ‘Q’.

**– In**

*Quadrant 1 (Q1)***, x-axis is**

*Quadrant 1*positive and y-axis is positive. It is represented by

**.**

*Q1*

**– In**

*Quadrant 2 (Q2)***, x-axis is**

*Quadrant 2*negative and y-axis is positive. It is represented by

**.**

*Q2*

**– In**

*Quadrant 3 (Q3)***, x-axis is**

*Quadrant 3*negative and y-axis is negative. It is represented by

*Q3.*

**– In**

*Quadrant 4 (Q4)***, x-axis is positive**

*Quadrant 4*and y-axis is negative. It is represented by

**.**

*Q4*

**– An**

*Ordered Pair (x, y)***represents a**

*ordered pair*particular point of the plane in a quadrant. It is written as

**where**

*(x,*

y),y),

**represents the value on the x-axis and**

*‘x’***represents the value**

*‘y’*on the y-axis.

**– In a ordered pair,**

*Abscissa (x)*

*‘x’*is the

**, it represents the distance of a point from the y-axis**

*abscissa*and is measured parallel to the x-axis.

**– In a ordered pair,**

*Ordinate (y)*

*‘y’*is the

**, it represents the distance of a point from the x-axis**

*ordinate*and is measured parallel to the y-axis.

###
**Understanding the Cartesian System in**

Co-ordinate Geometry

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.

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.

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 Q2

represents the ordered pair (-4, 3) where the numbers denote the distance from

the y-axis and x-axis respectively. In Q3 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 Q4 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.

represents the ordered pair (-4, 3) where the numbers denote the distance from

the y-axis and x-axis respectively. In Q3 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 Q4 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.

the next blog where we discuss questions in co-ordinate geometry that are asked

in competitive exams.

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