If point `P(alpha, alpha^2-2)` lies inside the triangle formed by the lines `x + y=1 , y=x + 1 and y=-1` then `alpha in`

If (alpha,alpha^2) lies inside the triangle formed by the lines 2x+3y-1=0,x+2y-3=0,5x-6y-1=0 , then

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

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 (0,1)dot

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 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

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

If the point (1,alpha) always remains in the interior of the triangle formed by the lines y=x,y=0 and x+y=4, then alpha lies in the interval

Find the values of alpha so that the point P(alpha^(2),alpha) lies inside or on the triangle formed by the lines x-5y+6=0,x-3+2=0 and x-2y-3=0

If the point (1, alpha) always remains in the interior of the triangle formed by the lines y = x, y = 0 and x + y = 4, then alpha lies in the interval

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