Straight LineHard
Question
If the line 2x + y = k passes through the pointwhich divides the line segment joining thepoints (1, 1) and (2, 4) in the ratio 3 : 2, thenk equals :
Options
A.

B.

C.5
D.6
Solution
Let P be the point dividing (1, 1) and (2, 4) inthe ratio 3 : 2.

∴
Put x
and y
in 2x + y = k

⇒ k = 6

∴

Put x
and y
in 2x + y = k
⇒ k = 6
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