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$The range of value of α such that (0, α) lies on or inside the triangle formed by the lines y + 3 x + 2 = 0, 3 y - 2 x - 5 = 0, 4 y + x - 14 = 0 is$

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5<α≤7

12≤α≤1

53≤α≤72

None of these

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detailed solution

Correct option is C

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

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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

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$The range of value of α such that (0, α) lies on or inside the triangle formed by the lines y + 3 x + 2 = 0, 3 y - 2 x - 5 = 0, 4 y + x - 14 = 0 is$