Question

The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio

A. 

3 : 4

B. 

3 : 2

C. 

2 : 3

D. 

4 : 3

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Answer 1

Step-by-step explanation:

$by \: mid \: point \: formula$

$x = 2k + 1\k + 1 \\ y = 7k + 3\k + 1 \\ now \: put \: these \: values \: of \: \\ x \: and \: y \: in \: the \: equation \: \\ 3x + y = 0$

$= \: 3( | \: 2k + 1| \k + 1) + 7k \: + 3\k + 1 = 9 \\ = 6k + 7k - 9x = 9 - 6 \\ = 4k = 3 \\ = k = 3\4$