If the line 2x + y = k passes through th...

If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals

A

`(29)/(5)`

B

5

C

6

D

`(11)/(5)`

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The correct Answer is:

C

`therefore C((8)/(5),(14)/(5))`, which lies on `2x+y=k`
`therefore (2xx8)/(5)+(14)/(5)=k`
`k=6`

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