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In what ratio, the line joining (– 1, 1) and (5, 7) is divided by the line x + y = 4 ?
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- 2 : 1
- 1 : 3
- 1 : 2
- 1 : 4
Correct Option: C
Let the ratio k : 1
= Using section formula,
| x = | ||
| k + 1 |
| ⇒ x = | ||
| k + 1 |
| y = | ||
| k + 1 |
| ⇒ y = | ||
| k + 1 |
Putting the value of x and y in the equation of line, we get
| + | = 4 | ||
| k + 1 | k + 1 |
12k = 4(k + 1)
→ 12k = 4k + 4
8k = 4
k = 1/2
∴ Ratio is 1 : 2.
