Question

The co-ordinates of the point which divides the line joining the points (–1, 7) and (4, –3) in the ratio 2:3 is ___.

• A. (1, 3)
• B. (-1, 3)
• C. (1,-3)
• D. (-1,-3)

Answer 1

The correct option is A

(1, 3)

Let P(x, y) divides the line segment AB joining A(-1, 7) and B(4, -3) in the ratio 2:3. Then by using section formula the co-ordinates of P are given by:

P$(\frac{2\times 4+3\times (-1)}{2+3},\frac{2\times (-3)+3\times 7}{2+3})$
= P$(\frac{8-3}{5},\frac{-6+21}{5})$
= P$(\frac{5}{5},\frac{15}{5})$
= P(1, 3)