Question

The point C (–1,2) divides the lines segment AB in the ratio 3:4, the coordinates of A are (2, 5). The coordinates of B are:

• A. (–5, –2)
• B. (–1, – 2)
• C. (–4, – 2)
• D. (5, – 4)

Answer 1

The correct option is A

(–5, –2)

Let C(-1, 2) divide the line joining A(2, 5) and B(x, y) in the ratio 3:4. Then:

$C(\frac{3x+8}{7},\frac{3y+20}{7})$ = C(-1, 2) [Applying section formula]

$\Rightarrow \frac{3x+8}{7}$ = -1 & $\frac{3y+20}{7}$ = 2

$\Rightarrow 3x+8$ = -7 & 3y + 20 = 14

$\Rightarrow$ x = -5 & y = -2

The coordinates of B are: B(-5, -2)