JEE Mains Model Paper 25

Let A (1, 1) and B (2, 4) If P (x, y) divides the line segment AB in the ratio 3:2, then
x

3(4)+2(1)

5

, y =

3(4)+2(1)

5

p (8/5 , 14/5)
As the line 2x + y = k passes through P
2 × (8/5) + (14/5) = k ⇒ k = 6