Question

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. $\frac{29}{5}$
• B. 5
• C. 6
• D. $\frac{11}{5}$

Answer 1

The correct option is C 6


Applying section formula between points A & B, we get
$C(\frac{8}{5},\frac{14}{5}),whichlieson2x+y=k\therefore \frac{2\times 8}{5}+\frac{14}{5}=kk=6$