Question

find the co ordinate of the point which divides the line segmant joining the points (_1,3) and (2,7) in the ratio 3:4​

Answer 1

$\huge\colorbox{blue}{Answer ☝}$

Let the coordinates of point P be (x, y).

The ratio in which P divides A (-1,7)and B (4,-3)is 2:3.

Using the section formula we have

$x = \frac{4 \times 2 + 3 \times ( - 1)}{2 + 3} = \frac{8 - 3}{5} \\ y = \frac{2 \times ( - 3) + 3 \times 7}{2 + 3} = \frac{ - 6 + 21}{5}$

Thus, the coordinates of point P are (1,3)

Hope it helps you ☺️☘️