Q. 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.6 c.5 d.11/5

Dear Student,
Please find below the solution to the asked query:

We have2x+y=k ;iLet p,q be the point which divides the line segment joining the points1,1 and 2,4 in the ratio 3:2.Using section formula we get:p=3×2+2×13+2 and q=3×4+2×13+2p=85 and q=145p,q=85,145Now p,q will satisfy i, hence285+145=kk=165+145=305=6Hence optionb is correct.

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