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The combined equation of the three sides of a triangle is (x^2-y^2 )(2 x+3 y-6)=0 . If the point (0, ) lies in the interior of this triangle, then

Options

  1. A-2 < < 0
  2. B-2 < < 2
  3. C0 < < 2
  4. D2

Correct answer

C. 0 < < 2

Step-by-step solution

The sides of a triangle are given by (x^2-y^2 )(2 x+3 y-6)=0 or x-y=0, x+y=0,2 x+3 y-6=0 We observe that the point (0, ) moves on x=0 . Thus, the value of lies between 0 < < 2 .

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