. Find the coordinates of the point which divide the line
segment joining A^ h 2 3 ,− and B^ h − −4 6 , into three
equal parts.
Answers
Step-by-step explanation:
This is your answer
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(0 , 4) ( - 2, 5) Divides line segment joining A ( 2 , 3) & B ( -4 , 6) into 3 Equal Parts
Step-by-step explanation:
A ( 2 , 3)
B ( -4 , 6)
let say M & N are the points which divides AB in to 3 Equal Parts
AM = MN = NB = AB/3
AM : MB = 1 : 2
Coordinate of M = ( x , y) divides AB into 1 : 2
Coordinate of M = ( 1(-4) + 2(2))/(1 + 2) , (1 * 6 + 2 * 3)/(1 + 2)
= ( 0/3 , 12/3)
= (0 , 4)
MN = NB
=> N is mid point of M & B
M (0 , 4) B = ( - 4 , 6)
Coordinate of N = (0 - 4)/2 , (4 + 6)/2
= -2 , 5
(0 , 4) ( - 2, 5) Divides line segment joining A ( 2 , 3) & B ( -4 , 6) into 3 Equal Parts
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