(Q30) Find the coordinates of the points which divides the line segment joining A(-2,2) and B(2,8) into four equal parts.

Answer

Given A(-2,2) and B(2,8)

Let P,Q and R be the points which divide AB into four equal parts.

ABPQR(-2,2)(0,5)(2,8)

Then, Q is the midpoint of AB.

P is the midpoint of AQ.

R is the midpoint of QB.

midpoint(x,y)= (
x1+x2
2
 ,
y1+y2
2
)
Q(x,y)= (
-+
2
 ,
+
2
)
= (
2
 ,
2
) =(,)
P(x,y)= (
-+
2
 ,
+
2
)
=(-,
2
)
R(x,y)= (
+
2
 ,
+
2
)
=(,
2
)