From a corner of a wheat growing field ,Rajesh moves 3
steps towards north and 4 steps towards east and reaches
diagonally heading corner of the plot .From the same point
,Harish moves 4 steps towards east 3 steps towards north and
reaches the same point .Taking east-west direction as x-axis
North-south direction as y-axis and starting point as origin
write the co-ordinates of the points at which two persons meet
A third person Karim moves straight way towards the point
where the two persons meet togethe. Has the third person
travelled less distance ? Find out the distance travelled by
third person.
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If east west distance taken as x axis and North south direction as y axis
then if coordinates taken as (x,y) then
Coordinates of Rajesh= x=4,y=3
ie. The coordinates of Rajesh =(4,3)
In case of Harish x=3,y=4
ie.Coordinates of Harish=(3,4)
Total distance travelled by both is same =3m+4m=7m
In case of Karin he travelled diagonally
So
diagonal = (a^2+b^2)1/2
diagonal=(3^2+4^2)1/2
diagonal=(9+16)^1/2=25^1/2=5m
Since 7m>5m
Therefore Karim walked the least distance
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