The coordinate of B is (3, 7).
Solution:
Given data: A(0, 6), D(18, 12) and AB : BD = 1 : 5
A(0, 6) can be taken as .
D(18, 12) can be taken as .
AB : BD can be taken as m : n = 1 : 5.
We know that coordinate of point P(x, y) divides line segment joining
and in ratio m : n is
Here, and m = 1, n = 5.
Substitute these in the above formula, we get
⇒
⇒
⇒ B(x, y) = (3, 7)
Hence the coordinates of point B are (3, 7).