The Language of Distance and Points

System is equal to minus 8x minus 2y + 10 y which is equal to 8 by 49 plus 150 50 minus 9 41 41 plus 25 66 is equal to 0 okay so sorry sorry here is one mistake 25 miss of negative okay - you pick it Naga 16 okay so now in guanaco whose side pillaging so eight X minus eight Y is equal to 60 take it common X minus y is equal to 16 or those three third of Jackie I've got divided so X minus y is equal to 2 this is the answer the next example is find a point on Y axis which is equidistant from the point a 6 comma 5 and B minus 4 comma 3 ticket Obama Nakia corner why exists Cooper quick point find out Burnett discs are a kiss-up distance missing or a because RB distance seemed clear so cackling it a girl V exist pay point find out connect to coordinates County abscissas Yoga chicken and dispose calling it that a joke ordinator wok is number y so we know that point on Y axis is of the form 0 comma y ok so as you know the point P is equidistant from a and B so P a distance of P a and distance of P B is same so take P a is equal to P B now we apply the formula two similarly Jessie a Pichler question may solve salvation Kiev s ease question maked meal ticket Jeb solve karate the Yampa mulpus why can you get me a check e9 the point console is 0 comma 9 clear now we will discuss some exercise questions so first question is find the distance between the points and it is very easy take first point as a a and second point as a B and using the distance formula we can find the distance between the two points so this question is very easy you can solve it next is find the distance between the points 0 0 and 36 15 and in this question we have to find the distance between these two point and can you now find the distance between the two towns a and be discussing the section 7.2 so in this first of all we find the distance between this point and it is very easy to find the distance by using the distance formula after that this is that can you find the distance between two towns a and B distance in Section seven to the section seven point two is this one a and B these two points by using the distance formula we can find the distance between these two points so the second question is also very easy next is determining the points this one are collinear album named battling key points collinear hi any ticket take this point as of a this point B and this point is C so collinear Killick a condition of the Americas that the a B plus BC is equal to AC ticket dhoka somehow Mary pass hold on a ticket the way I'm Palais a B find out coloring after that by if we find BC by using distance formula then we add a B plus busy occur a ACK distance K equal at that so you have multiple points cow Cheng a collinear same as example number three take a jessamy example number three makiato so similarly this question may be worse even clearer next is in a classroom for friends are seated at a point a b c d taken four friends and who is points pivot then jump and Millie walk walk into the class and after observing for a few minutes jumper arcs Chameli ticket along Walkerton classmate or absorb curtain after absorbing Champa Chameli that do you think ABCD is a square Jamila disagrees using distance formula from which of them is correct okay so yeah karaoke consummate okay AP AP C D X cube and taking the Chimel is to say disagree OJT bucatini who's Jesus a maddening chicken total karna how many distance formula use querque but our Nike Quantic ticket T is clear Bandra yeah maybe the subsequently I'm caring he he point find out Carnegie the point a is 3 comma 4 as you see x-coordinate is 3 and y coordinate is 4 so the point is 3 comma 4 and B point is 6 comma 7 and the C point is 9 comma 4 and the D point is 6 comma 1 so after that we find the conditions of sphere the same name example number 2 Makita similarly as it is happening vasee processes Makana take it top embellish occuring leaky a B BC C T and D here he is a be equal head after that we find the VD distance of BD and AC and these both distance are equal or not agree conditions to our theater you scared my otherwise name vinegar chicken too similarly example number 2 key Jessie happening is all corner clear

Note: I have copied the text as it was provided without any modifications.

"WEBVTTKind: captionsLanguage: enmorning everyone today we will discuss our next chapter that is coordinate geometry okay so as you have studied that how to locate the position of point on a plane we require a pair of coordinate axes so as you know this line is called x-axis and this line is called y-axis okay so and the distance of a point from y-axis it is called x coordinate or abscissa and the distance from the point distance of a point from the x axis it is called y coordinate or ordinate and the coordinate of point on x axis are of the form x comma 0 and the point on y-axis are of the form 0 comma y so when I join these points then I want to find the distance from this point to this point so in this chapter we will learn that how can we find the distance between two points whose coordinates are given ok and we can also find the area of triangle by formed by three points ok so let us start first one is distance formula ok so distance formula is used to find the distance between two points two coordinates okay so for example one point is P and second point is Q this is x axis and this is y axis and I want to find the distance between P and Q so P point is x1 y1 and Q point is x2 y2 so what is the formula to find the distance between these two points so the distance of PQ is equal to under root X 2 minus X 1 whole square plus y 2 minus y 1 whole square clear so by using this formula we can find the distance between these two points for example this point is P point is 1 3 and the 2 point is 3 comma 1 ok so we just put the values here what is the value of write the value of x1 x2 y1 y2 take a subset value of Nanking values Ligny and remember that creeper put cutting back the values goal Authority a tickin the first of all you have to write the values of x1 x2 y1 y2 value of x1 is 1 x 2 is 3 y 1 is 3 and x by 2 is 1 so now put the values X 2 minus X 1 whole square plus y2 minus y1 whole square okay so solve it 3 minus 1/2 squared plus minus 2 squared 1 minus 3 is minus 2 so now we scale to square 4 plus minus 2 square also for 4 plus 4 8 so which is equal to 2 root 2 so the distance between these two point is 2 root 2 okay so in this way we can find the distance between two points the next example is do the points 3 comma 2 minus 2 comma minus 3 and 2 comma 3 form a triangle if so name the type of the triangle formed first of all we have to check that these points form a triangle or not ok for this if we have to check that sum of two two sides is always greater than the third side as you know the aapko pata triangle gossip Anthea chicken agar dolkun for example this side is three centimeter and this side is 4 centimeter and this side is 5 centimeter how many lower classes making that how can we check that this these points form the triangle or not Tomcats the checker today you don't know those ayats k + 3 3 say but I wanna change is a 4 + 3 3 + 4 7 7 5 so bad I threw four plus five nine nine three separate 5+3 8 8 4 safe but I - si checker today chicken mafia meekly Raja Tata Chiodo side ski though side skill and coach of America thing auger wound kasam greater out there third side thick sides it the war triangle form curtain chicken abyss question maybe a massacre in gay you see with no side scott distance 3/3 side key distance a but on adji chicken so first of all we check that sum of any two sides of these distance is greater than the third distance okay for this we have to find firstly distance suppose points are given 3 2 - 2 3 - 3 2 comma 3 so let us take p point as 3 comma 2 Q point as - 2 comma minus 3 and our point 2 comma 3 chicken sub Seppala no make triangle broken lingual points name didn't get ticket or after that we find the distance ok so first of all we find the distance of P cube and as you know the formula so we apply the distance formula X 2 minus X 1 whole square plus y 2 minus y 1 whole square okay so in P and Q point X 1 is 3 X 2 is minus 2 y 1 is 2 and Y 2 is minus 3 so put the values in this and X 2 minus 2 minus 3 whole square plus y 2 minus 3 minus 2 whole square okay so now at minus 5 whole square plus minus 5 whole square which is equal to 25 plus 25 wrote 50 which is equal to seven point zero seven approximately okay step salt karoge this cancer approximately seven point zero seven Hika clear similarly in this way we can find at the distance of Q R and the P R okay so distance of Q Bar is seven point two one when you solve it and the distance of P R is one point four one okay so when you solve it its distance will be this one okay so now we check that sum of an two of these distance is greater than the third distance okay so as you see when we add these two distance the sum of these two distance is greater than this distance and sum of these two distance is greater than the third distance and the sum of these two distance is greater than the third distance so in all the cases sum of two distance is greater than the third distance therefore P Q R form the triangle together it makes you were cabin area triangle Benari clear also this point satisfies the condition pythagoras condition okay so by the converse of Pythagoras theorem we have and then P is ninety degree Yuki a Pythagoras theorem key condition B apply for local area to get those side skills square Qasim this trick is ka equal era to buy converse of Pythagoras theorem jungle PMO kitnik over 90 degrees ax chicken so that's why pick your water right triangle panicky clear and remember that the formula of distance formula is X 2 minus X 1 whole square plus y 2 minus y 1 whole square we can also write it as X 1 minus X 2 whole square plus y 1 minus y 2 whole square okay both are correct so you can use any of them ok don't know miss Abby you don't know Sonia next example is show that the points 1 comma 7 4 comma 2 minus 1 comma minus 1 and minus 4 comma 4 are the vertices of a skill we have to check that these are the vertices of square as you know that in square all sides are equal yes or no so first of all we draw us here and the we'll take that this point is a 1 comma 7 this point is P 4 to this point is C minus 1 minus 1 and this point is 3 minus 4 comma 4 as we know that the all sides are equal chicken in square so first of all we find the distance of all points a B BC C D D D D okay two subsets I am currently in sa' beaker distance find out cutting chicken after that we find the diagonal AC and BD taken in donaga distance find out Kalinga and if the distance of all the side all the points just a b bc c beep a B it's a bigger distance equality or easy and the beaker distance a matter it means he cabin and a skier banana Yuki scale making author so besides equality or diagonals be equality the auger sub besides equal Aggie or diagonals equal again it means a cow from Kadesh care ok so first of all we find a be distance of a B ticket to ye formula apply cutting a distance formula X 2 minus X 1 whole square plus y 2 minus y 1 whole square ticket tomasa mulpus a BB CC DD a Sabae give allocate miyagi road 34 and after that we find the diagonals AC and BD 2 once mr basket nugget would 68 so yes i'm cathy cranky all sides are equal and both diagonals are equal so it means this point from the scanner yeah the next example is figures seven point six shows the arrangement of desk in a classroom Joe a purpose seven points if we charisma cachaca rearrangement of the desk so a Sh'ma party and kamila are seated at Point a 3 comma 1 b6 for cat6 do you think they are seated in a line give reason for your answer a pomnenka corner teen girls and you know check connect Eve okay like maybe thing today is that it is a guy Kleinman bigger though for this we have to check that these points are collinear or not as you know collinear points concert they enjoy a key line P Michael - chicken come collinear points fall day - cackling hey pal a home chuckling geeky a points collinear hanger name though a Gerta collinear way so it means for a key line my breath yeah a girl : Ian a towaway Kleinman a Betty chicken so for the what is the condition of collinear points so let's make out that K dough a B plus BC agar ACK equal Athena to working on the points collinear only ticket I gotta my purse a B plus BC equal to AC Agha it means these points are collinear and the girls will say girls - whoa a climatic chicken so let us check those observable a my a B distance of a B find out coloring ABC and AC the you know cut distance find out curling check a a be Cara 3 root 2 michiga 2 root 2 and the a seka 5 root to escape as many Kabbalah Kabbalah sake in dono conditions Co add connect a path again a third key equal are the points can collinear as you see when we add these to a B and BC the answer is 5 root 2 which is equal to AC so it means the points ABC are collinear and they are sifted in now now the words can wait line me back clear the next example is find the relation between x and y such that the point XY is equidistant from the point 7 comma 1 & 3 comma 5 now we have to find the relation between x and y and what is the meaning of equidistant means Joe X is point car distance is Point C butanol or is points a B Luton I'm here chicken Oh like here is the point and the XY point taken yeah a coin reappear or eight point yeah where the determine distance CAA the nine distance yeah agree a to whether you a big it now got to chicken the K distance comical about they will distance man type X comma my point seven comma 1 CB open a distance pair or three comma five say be within a distance we're clear - so we take this point as a P X comma by a 7 1 and B 3 5 so as you know the distance of PA is equal to the distance of PB chicken car distance K equal so now we use the distance formula and put the values so 7 X 2 minus X 1 whole square plus y 2 minus y 1 whole square is equal to under root now we take PB X 2 minus X 1 whole square plus y 2 minus y 1 whole square now taking a scaling on both sides stolen car from cavity a skill the job scaring on both sides the jamuna side space care cutting me root cancel or take a scale kisseth or carriage a gas have a minus XO whole square plus 1 minus y whole square is equal to 3 minus X whole square plus 5 minus y whole square okay now we open the four open the brackets by using the formula so 49 plus X square minus 14x by using a minus b whole square so 1 plus y is clear - 2 y is equal to 9 plus X square minus 6x plus 25 plus y square minus 10y okay so take this whole sign on left hand side 49 plus XJ minus 40 X plus 1 plus y square minus 2y minus 9 minus XK plus 6x plus 25 minus y square plus tan y equal to 0 now X square cancels with X square because one of positive and one of negative similarly Y square cancel with Y square chicken so minus 14x plus 6 which is equal to minus 8x minus 2y + 10 y which is equal to 8 by 49 plus 150 50 minus 9 41 41 plus 25 66 is equal to 0 okay so sorry sorry here is one mistake 25 miss of negative okay - you pick it Naga 16 okay so now in guanaco whose side pillaging so eight X minus eight Y is equal to 60 take it common X minus y is equal to 16 or those three third of Jackie I've got divided so X minus y is equal to 2 this is the answer the next example is find a point on Y axis which is equidistant from the point a 6 comma 5 and B minus 4 comma 3 ticket Obama Nakia corner why exists Cooper quick point find out Burnett discs are a kiss-up distance missing or a because RB distance seemed clear so cackling it a girl V exist pay point find out connect to coordinates County abscissas Yoga chicken and dispose calling it that a joke ordinator wok is number y so we know that point on Y axis is of the form 0 comma y ok so as you know the point P is equidistant from a and B so P a distance of P a and distance of P B is same so take P a is equal to P B now we apply the formula two similarly Jessie a Pichler question may solve salvation Kiev s ease question maked meal ticket Jeb solve karate the Yampa mulpus why can you get me a check e9 the point console is 0 comma 9 clear now we will discuss some exercise questions so first question is find the distance between the points and it is very easy take first point as a a and second point as a B and using the distance formula we can find the distance between the two points so this question is very easy you can solve it next is find the distance between the points 0 0 and 36 15 and in this question we have to find the distance between these two point and can you now find the distance between the two towns a and be discussing the section 7.2 so in this first of all we find the distance between this point and it is very easy to find the distance by using the distance formula after that this is that can you find the distance between two towns a and B distance in Section seven to the section seven point two is this one a and B these two points by using the distance formula we can find the distance between these two points so the second question is also very easy next is determining the points this one are collinear album named battling key points collinear hi any ticket take this point as of a this point B and this point is C so collinear Killick a condition of the Americas that the a B plus BC is equal to AC ticket dhoka somehow Mary pass hold on a ticket the way I'm Palais a B find out coloring after that by if we find BC by using distance formula then we add a B plus busy occur a ACK distance K equal at that so you have multiple points cow Cheng a collinear same as example number three take a jessamy example number three makiato so similarly this question may be worse even clearer next is in a classroom for friends are seated at a point a b c d taken four friends and who is points pivot then jump and Millie walk walk into the class and after observing for a few minutes jumper arcs Chameli ticket along Walkerton classmate or absorb curtain after absorbing Champa Chameli that do you think ABCD is a square Jamila disagrees using distance formula from which of them is correct okay so yeah karaoke consummate okay AP AP C D X cube and taking the Chimel is to say disagree OJT bucatini who's Jesus a maddening chicken total karna how many distance formula use querque but our Nike Quantic ticket T is clear Bandra yeah maybe the subsequently I'm caring he he point find out Carnegie the point a is 3 comma 4 as you see x-coordinate is 3 and y coordinate is 4 so the point is 3 comma 4 and B point is 6 comma 7 and the C point is 9 comma 4 and the D point is 6 comma 1 so after that we find the conditions of sphere the same name example number 2 Makita similarly as it is happening vasee processes Makana take it top embellish occuring leaky a B BC C T and D here he is a be equal head after that we find the VD distance of BD and AC and these both distance are equal or not agree conditions to our theater you scared my otherwise name vinegar chicken too similarly example number 2 key Jessie happening is all corner clearmorning everyone today we will discuss our next chapter that is coordinate geometry okay so as you have studied that how to locate the position of point on a plane we require a pair of coordinate axes so as you know this line is called x-axis and this line is called y-axis okay so and the distance of a point from y-axis it is called x coordinate or abscissa and the distance from the point distance of a point from the x axis it is called y coordinate or ordinate and the coordinate of point on x axis are of the form x comma 0 and the point on y-axis are of the form 0 comma y so when I join these points then I want to find the distance from this point to this point so in this chapter we will learn that how can we find the distance between two points whose coordinates are given ok and we can also find the area of triangle by formed by three points ok so let us start first one is distance formula ok so distance formula is used to find the distance between two points two coordinates okay so for example one point is P and second point is Q this is x axis and this is y axis and I want to find the distance between P and Q so P point is x1 y1 and Q point is x2 y2 so what is the formula to find the distance between these two points so the distance of PQ is equal to under root X 2 minus X 1 whole square plus y 2 minus y 1 whole square clear so by using this formula we can find the distance between these two points for example this point is P point is 1 3 and the 2 point is 3 comma 1 ok so we just put the values here what is the value of write the value of x1 x2 y1 y2 take a subset value of Nanking values Ligny and remember that creeper put cutting back the values goal Authority a tickin the first of all you have to write the values of x1 x2 y1 y2 value of x1 is 1 x 2 is 3 y 1 is 3 and x by 2 is 1 so now put the values X 2 minus X 1 whole square plus y2 minus y1 whole square okay so solve it 3 minus 1/2 squared plus minus 2 squared 1 minus 3 is minus 2 so now we scale to square 4 plus minus 2 square also for 4 plus 4 8 so which is equal to 2 root 2 so the distance between these two point is 2 root 2 okay so in this way we can find the distance between two points the next example is do the points 3 comma 2 minus 2 comma minus 3 and 2 comma 3 form a triangle if so name the type of the triangle formed first of all we have to check that these points form a triangle or not ok for this if we have to check that sum of two two sides is always greater than the third side as you know the aapko pata triangle gossip Anthea chicken agar dolkun for example this side is three centimeter and this side is 4 centimeter and this side is 5 centimeter how many lower classes making that how can we check that this these points form the triangle or not Tomcats the checker today you don't know those ayats k + 3 3 say but I wanna change is a 4 + 3 3 + 4 7 7 5 so bad I threw four plus five nine nine three separate 5+3 8 8 4 safe but I - si checker today chicken mafia meekly Raja Tata Chiodo side ski though side skill and coach of America thing auger wound kasam greater out there third side thick sides it the war triangle form curtain chicken abyss question maybe a massacre in gay you see with no side scott distance 3/3 side key distance a but on adji chicken so first of all we check that sum of any two sides of these distance is greater than the third distance okay for this we have to find firstly distance suppose points are given 3 2 - 2 3 - 3 2 comma 3 so let us take p point as 3 comma 2 Q point as - 2 comma minus 3 and our point 2 comma 3 chicken sub Seppala no make triangle broken lingual points name didn't get ticket or after that we find the distance ok so first of all we find the distance of P cube and as you know the formula so we apply the distance formula X 2 minus X 1 whole square plus y 2 minus y 1 whole square okay so in P and Q point X 1 is 3 X 2 is minus 2 y 1 is 2 and Y 2 is minus 3 so put the values in this and X 2 minus 2 minus 3 whole square plus y 2 minus 3 minus 2 whole square okay so now at minus 5 whole square plus minus 5 whole square which is equal to 25 plus 25 wrote 50 which is equal to seven point zero seven approximately okay step salt karoge this cancer approximately seven point zero seven Hika clear similarly in this way we can find at the distance of Q R and the P R okay so distance of Q Bar is seven point two one when you solve it and the distance of P R is one point four one okay so when you solve it its distance will be this one okay so now we check that sum of an two of these distance is greater than the third distance okay so as you see when we add these two distance the sum of these two distance is greater than this distance and sum of these two distance is greater than the third distance and the sum of these two distance is greater than the third distance so in all the cases sum of two distance is greater than the third distance therefore P Q R form the triangle together it makes you were cabin area triangle Benari clear also this point satisfies the condition pythagoras condition okay so by the converse of Pythagoras theorem we have and then P is ninety degree Yuki a Pythagoras theorem key condition B apply for local area to get those side skills square Qasim this trick is ka equal era to buy converse of Pythagoras theorem jungle PMO kitnik over 90 degrees ax chicken so that's why pick your water right triangle panicky clear and remember that the formula of distance formula is X 2 minus X 1 whole square plus y 2 minus y 1 whole square we can also write it as X 1 minus X 2 whole square plus y 1 minus y 2 whole square okay both are correct so you can use any of them ok don't know miss Abby you don't know Sonia next example is show that the points 1 comma 7 4 comma 2 minus 1 comma minus 1 and minus 4 comma 4 are the vertices of a skill we have to check that these are the vertices of square as you know that in square all sides are equal yes or no so first of all we draw us here and the we'll take that this point is a 1 comma 7 this point is P 4 to this point is C minus 1 minus 1 and this point is 3 minus 4 comma 4 as we know that the all sides are equal chicken in square so first of all we find the distance of all points a B BC C D D D D okay two subsets I am currently in sa' beaker distance find out cutting chicken after that we find the diagonal AC and BD taken in donaga distance find out Kalinga and if the distance of all the side all the points just a b bc c beep a B it's a bigger distance equality or easy and the beaker distance a matter it means he cabin and a skier banana Yuki scale making author so besides equality or diagonals be equality the auger sub besides equal Aggie or diagonals equal again it means a cow from Kadesh care ok so first of all we find a be distance of a B ticket to ye formula apply cutting a distance formula X 2 minus X 1 whole square plus y 2 minus y 1 whole square ticket tomasa mulpus a BB CC DD a Sabae give allocate miyagi road 34 and after that we find the diagonals AC and BD 2 once mr basket nugget would 68 so yes i'm cathy cranky all sides are equal and both diagonals are equal so it means this point from the scanner yeah the next example is figures seven point six shows the arrangement of desk in a classroom Joe a purpose seven points if we charisma cachaca rearrangement of the desk so a Sh'ma party and kamila are seated at Point a 3 comma 1 b6 for cat6 do you think they are seated in a line give reason for your answer a pomnenka corner teen girls and you know check connect Eve okay like maybe thing today is that it is a guy Kleinman bigger though for this we have to check that these points are collinear or not as you know collinear points concert they enjoy a key line P Michael - chicken come collinear points fall day - cackling hey pal a home chuckling geeky a points collinear hanger name though a Gerta collinear way so it means for a key line my breath yeah a girl : Ian a towaway Kleinman a Betty chicken so for the what is the condition of collinear points so let's make out that K dough a B plus BC agar ACK equal Athena to working on the points collinear only ticket I gotta my purse a B plus BC equal to AC Agha it means these points are collinear and the girls will say girls - whoa a climatic chicken so let us check those observable a my a B distance of a B find out coloring ABC and AC the you know cut distance find out curling check a a be Cara 3 root 2 michiga 2 root 2 and the a seka 5 root to escape as many Kabbalah Kabbalah sake in dono conditions Co add connect a path again a third key equal are the points can collinear as you see when we add these to a B and BC the answer is 5 root 2 which is equal to AC so it means the points ABC are collinear and they are sifted in now now the words can wait line me back clear the next example is find the relation between x and y such that the point XY is equidistant from the point 7 comma 1 & 3 comma 5 now we have to find the relation between x and y and what is the meaning of equidistant means Joe X is point car distance is Point C butanol or is points a B Luton I'm here chicken Oh like here is the point and the XY point taken yeah a coin reappear or eight point yeah where the determine distance CAA the nine distance yeah agree a to whether you a big it now got to chicken the K distance comical about they will distance man type X comma my point seven comma 1 CB open a distance pair or three comma five say be within a distance we're clear - so we take this point as a P X comma by a 7 1 and B 3 5 so as you know the distance of PA is equal to the distance of PB chicken car distance K equal so now we use the distance formula and put the values so 7 X 2 minus X 1 whole square plus y 2 minus y 1 whole square is equal to under root now we take PB X 2 minus X 1 whole square plus y 2 minus y 1 whole square now taking a scaling on both sides stolen car from cavity a skill the job scaring on both sides the jamuna side space care cutting me root cancel or take a scale kisseth or carriage a gas have a minus XO whole square plus 1 minus y whole square is equal to 3 minus X whole square plus 5 minus y whole square okay now we open the four open the brackets by using the formula so 49 plus X square minus 14x by using a minus b whole square so 1 plus y is clear - 2 y is equal to 9 plus X square minus 6x plus 25 plus y square minus 10y okay so take this whole sign on left hand side 49 plus XJ minus 40 X plus 1 plus y square minus 2y minus 9 minus XK plus 6x plus 25 minus y square plus tan y equal to 0 now X square cancels with X square because one of positive and one of negative similarly Y square cancel with Y square chicken so minus 14x plus 6 which is equal to minus 8x minus 2y + 10 y which is equal to 8 by 49 plus 150 50 minus 9 41 41 plus 25 66 is equal to 0 okay so sorry sorry here is one mistake 25 miss of negative okay - you pick it Naga 16 okay so now in guanaco whose side pillaging so eight X minus eight Y is equal to 60 take it common X minus y is equal to 16 or those three third of Jackie I've got divided so X minus y is equal to 2 this is the answer the next example is find a point on Y axis which is equidistant from the point a 6 comma 5 and B minus 4 comma 3 ticket Obama Nakia corner why exists Cooper quick point find out Burnett discs are a kiss-up distance missing or a because RB distance seemed clear so cackling it a girl V exist pay point find out connect to coordinates County abscissas Yoga chicken and dispose calling it that a joke ordinator wok is number y so we know that point on Y axis is of the form 0 comma y ok so as you know the point P is equidistant from a and B so P a distance of P a and distance of P B is same so take P a is equal to P B now we apply the formula two similarly Jessie a Pichler question may solve salvation Kiev s ease question maked meal ticket Jeb solve karate the Yampa mulpus why can you get me a check e9 the point console is 0 comma 9 clear now we will discuss some exercise questions so first question is find the distance between the points and it is very easy take first point as a a and second point as a B and using the distance formula we can find the distance between the two points so this question is very easy you can solve it next is find the distance between the points 0 0 and 36 15 and in this question we have to find the distance between these two point and can you now find the distance between the two towns a and be discussing the section 7.2 so in this first of all we find the distance between this point and it is very easy to find the distance by using the distance formula after that this is that can you find the distance between two towns a and B distance in Section seven to the section seven point two is this one a and B these two points by using the distance formula we can find the distance between these two points so the second question is also very easy next is determining the points this one are collinear album named battling key points collinear hi any ticket take this point as of a this point B and this point is C so collinear Killick a condition of the Americas that the a B plus BC is equal to AC ticket dhoka somehow Mary pass hold on a ticket the way I'm Palais a B find out coloring after that by if we find BC by using distance formula then we add a B plus busy occur a ACK distance K equal at that so you have multiple points cow Cheng a collinear same as example number three take a jessamy example number three makiato so similarly this question may be worse even clearer next is in a classroom for friends are seated at a point a b c d taken four friends and who is points pivot then jump and Millie walk walk into the class and after observing for a few minutes jumper arcs Chameli ticket along Walkerton classmate or absorb curtain after absorbing Champa Chameli that do you think ABCD is a square Jamila disagrees using distance formula from which of them is correct okay so yeah karaoke consummate okay AP AP C D X cube and taking the Chimel is to say disagree OJT bucatini who's Jesus a maddening chicken total karna how many distance formula use querque but our Nike Quantic ticket T is clear Bandra yeah maybe the subsequently I'm caring he he point find out Carnegie the point a is 3 comma 4 as you see x-coordinate is 3 and y coordinate is 4 so the point is 3 comma 4 and B point is 6 comma 7 and the C point is 9 comma 4 and the D point is 6 comma 1 so after that we find the conditions of sphere the same name example number 2 Makita similarly as it is happening vasee processes Makana take it top embellish occuring leaky a B BC C T and D here he is a be equal head after that we find the VD distance of BD and AC and these both distance are equal or not agree conditions to our theater you scared my otherwise name vinegar chicken too similarly example number 2 key Jessie happening is all corner clear\n"