Question

If the point C (-1,2) divides internally the line segment joining A (2,5) and B in the ratio 3:4. Find the coordinates of B.

Answer 1

Let the coordinates of B are (x, y)

It is given that the line segment divide in the ratio 3:4

So, m₁ = 3 and m₂ = 4

and (x’, y’) =(-1, 2); (x₁, y₁) = (2,5); (x₂, y₂) = (x, y)

Using section formula for the internal division, we get

⇒ 3x + 8 = -7 and 3y + 20 = 14

⇒ 3x = -7 – 8 and 3y = 14 – 20

⇒ 3x = -15 and 3y = -6

⇒ x = -5 and y = -2

Hence, the coordinates of B are (-5, -2)