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Find the ratio in which the line segment joining the points (1, 2) and (4, 6) is divided by point (2, 0).
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- 1 : 2
- 2 : 1
- 1 : 4
- 2 : 3
Correct Option: A
Let the ratio be k : 1 
Using internal section formula
| 2 = | ||
| k + 1 |
⇒ 2(k + 1) = 4k + 1
2k + 2 = 4k + 1
–2k = –1
| k = | ||
| 2 |
and
| 0 = | ||
| k + 1 |
0 (k + 1) = 6k + 2
6k = –2
| k = | ||
| 3 |
The value of k is not negative.
∴ Ratio will be 1 : 2
