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Determine the ratio in which the 2x + y = 4 divides the line segment joining the points (2,-2) and (3,7).
Asked by Topperlearning User | 26 Jul, 2017, 03:02: PM
answered-by-expert Expert Answer
Let P(x1,y1) divide the given line 2x + y = 4 in the ratio k:1
By section formula
 
These points lie on 2x + y = 4
6k + 4 + 7k – 2 = 4k + 4
13k + 2 = 4k + 4
 9k = 2
Hence, the line2x + y = 4 divides the line joining the points (2,-2) and (3,7) in the ratio 2: 9.
Answered by | 26 Jul, 2017, 05:02: PM

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