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The range of 'alpha' for which the point...

The range of `'alpha'` for which the point `(alpha, alpha)` lies in minor arc bounded by the curves `x^(2)+y^(2)=1` and `x+y=1` is

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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

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Set of value of alpha for which the point (alpha,1) lies inside the circle x^(2)+y^(2)-4=0 and parabola y^(2)=4x is

Set of value of alpha for which the point (alpha,1) lies inside the circle x^(2)+y^(2)-4=0 and parabola y^(2)=4x is