Straight Line Question 223

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

Options:

A) $ 5<\alpha \le 7 $

B) $ \frac{1}{2}\le \alpha \le 1 $

C) $ \frac{5}{3}\le \alpha \le \frac{7}{2} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Point $ (0,\alpha ) $ lies on the y-axis. In such equations, it is easier to see the location of point if lines are drawn on the axis. From the diagram, it is clear that $ \frac{5}{3}\le \alpha \le \frac{7}{2} $