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Find the values of alpha for which the p...

Find the values of `alpha` for which the point `(alpha-1,alpha+1)` lies in the larger segment of the circle `x^2+y^2-x-y-6=0` made by the chord whose equation is `x+y-2=0`

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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