Question

Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.

Answer 1

Let P (x, y) be the point which divide the line segment joining A (2, 3) and B (3, 4) in the ratio 1 : 5.

Now according to the section formula if point a point P divides a line segment joining `A(x_1, y_ 1)` and `B(x_ 2, y_ 2)` in the ratio m : n internally than,

`P(x, y) = ((nx_ 1 + mx _ 2)/(m + n), (ny_1 + my _ 2)/(m+ n ))`

Now we will use section formula as,

`P(x, y) = ((5(2) + 3)/(5 + 1), (5(3) + 4)/(4 + 1))`

`= (13/6, 19/6)`

So co-ordinate of P is `= (13/6, 19/6)`