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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)`

Text Solution

Verified by Experts

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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