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=0a n dx-2y-3=0.`

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

Determine all the values of alpha for which the point (alpha,alpha^(2)) lies inside the triangle formed by the lines.2x+3y-1=0x+2y-3=05x-6y-1=0

Find the area of triangle formed by the lines: x+y-6=0,x-3y-2=0 and 5x-3y+2=0

Find the values of the parameter a so that the point (a,2) is an interior point of the triangle formed by the lines x+y-4=0,3x-7y-8=0and4x-y-31=0

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

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) .

Find the value of alpha for which the point (alpha -1, alpha) lies inside the parabola y^(2) = 4x .

The range of value of alpha such that (0,alpha) lies on or inside the triangle formed by the lines y+3x+2=0,3y-2x-5=0,4y+x-14=0 is

Find the values of beta so that the point (0,beta) lies on or inside the triangle havind the sides 3x+y+2=0,2x-3y+5=0a n dx+4y-14=0.

For what values of alpha the point P(alpha,alpha) lies inside, on or outside the parabola (y-2)^(2)=4(x-3) .