# The Co-Ordinates of the Point P dividing the line Segment Joining the Points A (1,3) and B (4,6) Internally in the Ratio 2:1 are - Bzziii

The co-ordinates of the point P dividing the liIt is given that P divides the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1.
The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are

(a) (2,4)
(b) (4,6)
(c) (4,2)
(d) (3,5)

It is given that P divides the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1.

Thus,

Coordinates of P = (\frac{m_{1}x_{2}+m_{2}x_{1}}{m_{1}+m_{2}},\frac{m_{1}y_{2}+m_{2}y_{1}}{m_{1}+m_{2}})

= (\frac{2\times4+1\times1}{2+1},\frac{2\times6+1\times3}{2+1})

= ("8 + 1"/3,"12 + 3"/3)

= (9/3,15/3)

= (3, 5)

So, the Correct answer is option (d) (3,5)