Question

The line segment joining the points $(-3,-4)$ and $(1,-2)$ is divided by y-axis in the ratio

• A. 1 : 3
• B. 2 : 3
• C. 3 : 1
• D. 3 : 2

Answer 1

The correct option is C

3 : 1

Let the points $(-3,4)$ and $(1,-2)$ be divided by y-axis at $(0,t)$ in the ratio m : n

$\therefore (\frac{m-3n}{m+n},\frac{-2m-4n}{m+n})=(0,t)$

$\Rightarrow 0=\frac{m-3n}{m+n}$

$\Rightarrow m:n=3:1$