Question

In what ratio is the line segment joining (-1, 3) and (4, -7) divided at the point (2, -3)?

• A. 3:5
• B. 5:3
• C. 3:2
• D. 2:3

Answer 1

The correct option is C

3:2

From section formula, if (x,y) divides the line segments joining $x_1,y_1$ and $x_2,y_2$ internally in the ratio m:n then,

$x$ = $\frac{m{x}_2+n{x}_1}{m+n}$ and $y$ = $\frac{m{y}_2+n{y}_1}{m+n}$.

So, 2 = $\frac{4m+n(-1)}{m+n}$,

3n = 2m

hence $\frac{m}{n}$ = $\frac{3}{2}$ or m:n = 3:2