interval of `alpha` for which `(alpha, alpha^2)` and `(0, 0)` lies on same side of `3x + y - 10=0` is

Find the interval of alpha for which (alpha, alpha^2, alpha) and (3, 2, 1) lies on same side of x+y-4z+2=0 .

Find the interval of alpha for which (alpha, alpha^2, alpha) and (3, 2, 1) lies on same side of x+y-4z+2=0 .

Find the interval of alpha for which (alpha, alpha^2, alpha) and (3, 2, 1) lies on same side of x+y-4z+2=0 .

Find the interval of alpha for which (alpha, alpha^2, alpha) and (3, 2, 1) lies on same side of x+y-4z+2=0 .

The range of alpha for which the points ( alpha, alpha+2) and ((3alpha)/2,alpha^(2)) lie on opposite sides of the line 2x+3y-6=0 .

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) .Statement 2: The parabola y=x^(2) meets the linex +y=2 at (0,1) .

Determine all the values of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines. 2x+3y-1=0 x+2y-3=0 5x-6y-1=0

Determine all the values of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines. 2x+3y-1=0 x+2y-3=0 5x-6y-1=0

Determine all the values of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines. 2x+3y-1=0 x+2y-3=0 5x-6y-1=0

Determine all values of alpha for which the point (alpha, alpha^(2)) lies inside the triangle formed by the lines 2x+3y-1=0, x+2y-3=0 and 5x-6y-1=0