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If the line 2 x+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

Options

  1. A29 5
  2. B5
  3. C6
  4. D11 5

Correct answer

C. 6

Step-by-step solution

Point p= ( 6+2 5 , 12+2 5 ) p = ( 8 5 , 14 5 )p ( 8 5 , 14 5 ) lies on 2 x+y=k 16 5 + 14 5 =k k= 30 5 =6

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