The range of value of α such that (0,α) lies on or inside the triangle formed by the lines y+3x+2=0,3y−2x−5=0,4y+x−14=0 is
5<α≤7
12≤α≤1
53≤α≤72
None of these
Point (0, α) lies on they-axis. In such questions, it is easier to see the location of point if lines are drawn on the axis.
From the diagram, it is clear that 53≤α≤72