Q. 404.7( 18 Votes )

Find the coordinates of the points which divide the line segment joining A (-2, 2) and B (2, 8) into four equal parts.

Answer :

Let given coordinates be A(-2, 2) and B (2, 8).


We need to divide AB into 4 equal parts, ie first we need to find midpoint of AB, which will be D and then find out midpoints of AD and DB respectively.


Let required points be C(x1 , y1 ), D(xm , ym ) and E(x , y2 )



By midpoint formula.


x = , y =


For midpoint D of AB,


xm = , ym =


xm = 0 and ym = 5


D(xm , ym ) ≡ (0 , 5)


Now, for midpoint C of AD,


X1 = , y2 =


x1 = -1 and y1 =


C(x1 , y1) ≡ (-1, )


For midpoint E of DB,


X2 = , y2 =


x2 = 1 and y2 =


E(x2 , y2 ) ≡ (1 , )


Hence the co-ordinates of the points are (-1, ) , (0 , 5) and (1 , )


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