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Find the integral value of a for which t...

Find the integral value of a for which the point (-2, a) lies in the interior of the triangle formed by the lines `y=x, y=-x and 2x+3y=6`.

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Statement 1: The value of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1)dot Statement 2: The parabola y=x^2 meets the line x+y=2 at (1,1)dot