Question

The coordinates of the point P dividing the line segment joining the points A (1, 3) and B (4, 6) in the ratio 2 : 1 are

(a) (2, 4) (b) (3, 5) (c) (4, 2) (d) (5, 3) [CBSE 2012]

Answer 1

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

Using section formula, we get

Coordinates of P$=\left(\frac{2\times 4+1\times 1}{2+1},\frac{2\times 6+1\times 3}{2+1}\right)=\left(\frac{9}{3},\frac{15}{3}\right)=\left(3,5\right)$

Thus, the coordinates of P are (3, 5).

Hence, the correct answer is option B.