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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