The line segment joining the points (-3, -4) and (1, -2) is divid… - Vidyadip

MCQ

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

A
$1 : 3$
B
$2 : 3$
✓
$3 : 1$
D
$3 : 2$

✓

Answer

Correct option: C.

$3 : 1$

Let the points $(-3, -4)$ and $(1, -2)$ be divided by $y-$axis at $(0, t)$ in the ratio $m : n.$
$\therefore\Big(\frac{\text{m}-3\text{n}}{\text{m}+\text{n}},\frac{-2\text{m}-4\text{n}}{\text{m}+\text{n}}\Big)=(0,\text{t})$
$\Rightarrow0=\frac{\text{m}-3\text{n}}{\text{m}+\text{n}}$
$\Rightarrow\text{m}:\text{n}=3:1$

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