Find the ratio in which the line 3x+4y-9=0 divides the line segment joining the points P(1,3) and Q(2,7).

Hi Gunjan!
 
Let the line 3x + 4y – 9 = 0 divides the line segment joining the points (1, 3) and (2, 7) in k:1
Now, the coordinate of the point that divides the line joining the points (1, 3) and (2, 7) in k:1 are
 
 
This means the line 3x + 4y – 9 = 0 divides the line segment joining the points (1, 3) and (2, 7) in the ratio 6: 25 externally.
 
Hope! This will help you.
Cheers!

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