Why Coordinate Geometry? Video Lecture - Class 10

hello friends this video on coordinate
geometry part 1 is brought to you by
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what we will study we will study
coordinate system Cartesian coordinate
system distance between two point
formula sectional formula and area of
triangle before we continue with our
study let us know what we already know
we already know that to locate the
position of a point in a plane we
require a pair of coordinate axis that
is x and y we also know that distance of
a point from y axis is called x
coordinates or abscissa we also know the
distance of point from x axis is called
its y coordinate or ordinate we also
know that linear equation in two
variables or form ax plus b y plus c if
you plot this it gives a straight line
and linear equation in two variable or
form ax square plus bx plus c gives
hyperbole it will be once again linear
equation of two variable of form ax plus
b y gives straight line and if this is
formed a x square this gives and i'm
sorry this is quadratic actually we see
the maximum power is to quadratic
equation of form ax plus B is the sear
parabola all this thing we know so if
this is the coordinate system Cartesian
coordinate system with x and y axis and
if you see all the points are
equidistant in the x axis and this one
is one centimeter to will go two
centimeter
list is between 1 and 2 is 1 centimeter
the distance between 2 and T also 1
centimeter so whatever be the distance
between 1 0 and 1 the same distance
there so every point is
I mean the distance between the
consecutive points are same similarly in
the y-axis this is called positive
x-axis because all the points are
positive here this center point is
called zero zero because here both x and
y are zero the center point and then you
have this negative x axis you have this
positive x y axis and then you have this
negative y-axis this whole part is first
quadrant the whole if you see the whole
graph is divided into four quadrant one
two three oh this is called first
quadrant
this this is called second quadrant and
this is called third quadrant and this
is called fourth quadrant they are
fourth quadrant in the Cartesian
coordinate system and if you want to
plot a point it suppose you want to plot
this point this point is I think X comma
Y right X is for perpendicular distance
from y axis so if this is YX in law
perpendicular line from here alright
draw it like this draw a beautiful name
from there use no distance between this
point and this point is something 1 1 2
and 3 so X will become Y is nothing but
distance perpendicular distance from X
exists from this point draw
perpendicular to X X is fine in distance
this is nothing but 1 and 2 units
so while becomes e this point is 3 comma
2 so from 3 comma 2 we can very well
tell that this is that point so to
locate a point we need X and y axis x
and y that is obscure and ordinate holy
yeah again let us take one more example
let us take this point here so this
point is also X and y correct to find X
what will do we have to find the
perpendicular search from the y axis
this is two points so x is 2 for y we
have to draw a perpendicular distance
from
x-axis this is how many points 1 2 3 4 5
this is 5 this is XY that is 2 comma PI
that's how it is right so short cut is
instead of no spending time in finding
perpendicular distance in all what we do
is we use this so if you see if this is
the point 3 2 right if this is the point
you see this point here if you see if
you take this if you draw this line here
instead of finding the distance norm see
the confusing here actually C or X X is
you have to find perpendicular distance
from Y exist for y you have to find
perpendicular distance from X right
so finding perpend real distance
calculating is difficult so better what
we do is for xx is let's suppose for
this point you just try to see what is
the value here in the X only so in xx is
see the value in x value in X so if you
see the value in X is what 3 so this is
3 for YX is you just see this point what
is the value in Y axis that is to the
system so Y you see value and Y exists
and that is true this is the shortcut
way but actually going by the definition
this point is nothing but X point is
nothing but perpendicular distance from
Y axis and point y is nothing but
perpendicular distance from x axis the
way the XY graph is done to find this
point is see this this is this value is
3 right perpendicular is from my X is
and this is also 3 so to find this X you
can either find the perpendicular
distance from Y or you can just see in
the x axis where this point lies to find
Y also if you see you can either find
perpendicular distance or mangs
find the distance that is 102 unit or
you
see what does the value of this if you
draw this line like this what is the
value in y-axis all right so when you
are talking about perpendicular distance
the scene changes for X you have to find
perpendicular distance from Y or Y you
have to find perpendicular since from X
that is little difficult and that is
little little time taking and confusing
also because row makes you to find him
by from Y to find X don't do this just
understand the concept and for X is
nothing but perpendicular system y and Y
is nothing but perpendicular Centrum X
that is the mathematical definition but
when you actually want to find this
value 3 do you just see for example if
you have this point right you have to
find the value of x x + y right so you
see this point you see this in x axis
this is nothing but minus 4 you make it
minus 1 but to find y Y if you see if
you see this point this is 3 this thing
this is very easy actually compared to
this one where you to find draw the
perpendicular line and calculate a
distance let us take a more simple
example so let us take this point this
point is same so this is also XY current
find value of x see this what is the
value in at this point in x axis if you
make this in x axis this is minus 2
minus 2 y -1 this is y -1 that is how we
plot the point this thing we have
learned in the past classes but since
this is the base of the whole Cartesian
system so I spend so much time on this
correct this is my Cartesian system XY
axis is in 0 0 and it is divided into
four quadrant now before we start
ordinate geometry you must be thinking
why do we study core energy better why
what is the need of coordinate emitter
what will happen if you don't shut
accordian geometry will I miss something
in life so let's try to understand why
do we need coordinate geometry in our
life and we ever seen scanner scanner
scans the dot
win or a Xerox machine which give a
photocopy of the pages so all these
things works on coordinate system how it
works I'll tell you example you put an
image here and this image has some sub
picture is there for example this is
person picture in this image is the
image so what does scanner actually does
is for each and every I mean this whole
picture it divides into XY coordinates
and each and every points will get one
XY coordinate value right and then each
small point will have some color because
this point will have red this will have
Y like that and then internally it will
apply some algorithm some logic to
convert this image into digital form
hard to store it will show in this
fashion only example this is a big file
app where all this XY coordinates but
each XY coordinate because the each XY
coordinates is the point for the XY
coordinate it will store the club and
then in that way the whole image will be
stored and that is how the nice candle
work it is totally on the based on
coordinate system also if you see this
camera this also works on the basis of
coordinate system rule and tell you how
it was for example this with this
digital camera you have taken this photo
all right this photo is a photo of a
flower nature or a guy you should put on
the foot of a guy a teddy bear correct
and let's suppose this one some chicken
is like this and something is like this
and one toy is here now what this camera
will do is the moment it takes the
picture this will come into its memory
but how this will be storing this
chilsen because if you see everything is
stored in the form distal right
take it in transferring your computer
also why because everything is store in
disempowerment so what this camera does
is this photo whatever it has taken out
store and Asus format it converts this
into X y coordinate or example this all
our XY coordinates different different
XY coordinates all this points I'd
example this it will look 100 suppose
10000 points and each point will have XY
coordinates and now if you see some
point has red color at some point has
white colour and if it is a colourful
photo some point will have blue some
point will have black so what it will do
internally for each and every point it
will store its valid example this point
will have Y this point will have red and
then they'll have software when you try
to see the image bad they try to
assemble all the points and once they
assemble all the points look at this
image that is how the whole digital
world works that is totally based in
continental if you are not understanding
the concept it's ok it's little - just
try to understand that in your digital
camera in your scanning machine in your
photocopy machine the coordinate Joe
entry plays a critical role if you want
to go into that field in future you
should understand this quadrant symmetry
well also you see this construction
business the whole civil engineering
thing that works on coordinate jointly
because when they build the flyovers
when they build buildings they want to
find a distance between it suppose this
point and this point how much it will be
how much will be the elevation
everything is done using continuity
because the moment you say talk about
points
location of points coordinate geometry
comes the moment you talk about distance
between two points coordinate able to
come into play so coordinate geometry is
useful in this scenario also any if you
want to move into civil construction
business you want to become civil
engineer coordinate matrix it must for
you also you see a real-life example you
are a traveler and you want to find it
suppose distance between this point in
Australia and
and this point in India this will be
banned or somewhere or Telenet suppose
this point in media how will you find
this for this also you can use quadrants
orbital if you know the latitude and
longitude of this point point a equals
this point a and this is point B and
here also if you know the latitude and
now issue then you can find using
coordinate geometry you can find the
distance between these two points also
anywhere if you want to find the
distance between let's suppose this
point in us with some place in Africa
you want to go to Africa and you want to
find how far is Africa from this point
in America this is your city how will do
you will get the lot issue of this and
longitude of this this point let's
suppose at this point is C and this
point also D latitude and longitude and
then nearly is coordinated by D to find
the distance so coordinated geometry is
very very helpful the moment about
points that the point you walk up talk
about distance the moment you talk what
this you cameras coordinates matter is
very crucial so I think with this you
got a feel in a standing up why are we
trying to learn coordinate geometry and
where can be used as caught intimately
not real life thank you
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