01 - Introduction to Coordinate Geometry - Class 10 - Maths Video Lecture

hello everyone welcome to this session
of coordinate geometry in this session
we are going to learn the basic concepts
related to this topic for understanding
this let us consider two axis the
horizontal axis it is called
x axis and the vertical axis it is
called the y axis and their point of
intersection is called as origin x axis
is named as X X dash and y axis is named
- why why - when these two axes are
drawn in this way on any plain paper or
any plane it divides that plane into
four equal parts this is first part
call as first quadrant second quadrant
third quadrant and this is fourth
quadrant and the x axis possess positive
values on the right side of the origin
and it possess
negative values on the left side of the
origin similarly Y axis possess positive
values above the origin and it causes
negative values below the origin and
these values of x and y axis help us to
find the location of any point on the
plane for example here is the point I
want the location of this point and for
finding the location we require
reference so we will take reference of x
axis and y axis so we can see that this
point is covering two units on positive
x-axis and three units on positive y
axis so therefore its location will be
given accordingly two units for x axis
three units for y axis this kind of
representation of the location of a
point is called as coordinates and the
value of x axis is called as x
coordinate the value of y axis is called
as y coordinate x coordinates is also
called as abscissa and y coordinate is
also called as ordinate talking about
the coordinates we can say it is a
location of a point or in other words we
can say it is address of the point for
example if I want to write address of my
home I will give the street number
Lane number the area code etcetera all
these things are references to reach my
home similarly these coordinates are the
references for locating a point on the
plane suppose we are given with the
coordinates minus three comma minus four
and we want to locate this point so we
will first take the x coordinate that is
minus three an x value is minus four
that is y coordinate now we can see that
they both are intersecting at this value
so this is nothing but minus three comma
minus four so this is how coordinates
work now let us talk about the sign of
the coordinates it depends on the
quadrant in which they exist and these
two reference axis x axis and y axis are
called as coordinate axis so now we know
what are coordinates and what are
coordinate axis this whole system is
wireless coordinate system and this
system is given by the great French
mathematician Renard ecards and
therefore this coordinate system is
named after him as Cartesian coordinate
system when concepts of this coordinate
system are used in geometry it is called
as coordinate geometry that is our title
in next few sessions we are going to
learn three important concepts under
this title of coordinate geometry number
one distance formula in this formula we
will learn when two points are given
with their coordinates how to find the
distance between these two points
and the next one that we will learn
section formula under this concept when
two points are given with their
coordinates and the line joining the two
points we will find the coordinates of
the third point which is lying anywhere
on this line segment which is dividing
the line segment into the given ratio
and the third concept we learn is area
of triangle in this concept we are given
with three points along with their
coordinates and these three points are
forming a triangle then we'll see how to
find the area of dark triangle which is
formed
so let's have a recap of this session
you