Question

Find the ratio in which the line 3x+y-9=0 divides the line segment joining the points A(1,3) and B(2,7)

Answer 1

Step-by-step explanation:

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Answer 2

Let the line 3x + y – 9 = 0 divide the line segment

joining the points A(1,3) and B(2,7) at the point C

in the ratio k:1

Then point C by section formula is

Photo

As C lies on the line3x + y – 9 = 0, we have

6k + 3 + 7k + 3 - 9k - 9 = 0

4k - 3 = 0

The required ratio is 3:4 internall

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