NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

The condition to be imposed on β , so that ( 0 , β ) lies on or insideof the triangle having equation of sides as y + 3 x + 2 = 0 , 3 y - 2 x - 5 = 0 and 4 y + x - 14 = 0 , is

Options

A0 < β < 5 2
B0 < β < 7 2
C5 3 ≤ β ≤ 7 2
DNone of these

Correct answer

C. 5 3 ≤ β ≤ 7 2

Step-by-step solution

We can find the position of β on y -axis by plotting the lines and their intersection point on the y -axis. ∵ β lie on the y -axis and inside the triangle formed by the lines. ∵ 5 3 ≤ β ≤ 7 2

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