Q11 of 53 Page 115

If A (-14, -10), B(6, -2) is given, find the coordinates of the points whichdivide segment AB into four equal parts.

let the points dividing AB be C,D,E.

AC:CD:DE:EB∷1:1:1:1


A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by


and


For C m:n ∷ 1:3




For D m:n ∷2:2




For E m:n ∷ 3:1




Hence coordinates of C = (-9,-8)


D = (-4,-6)


E = (1,-4)


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