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

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

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

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

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

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

The set of values of alpha for which the point (alpha,1) lies ies inside the curves c_(1):x^(2)+y^(2)-4=0 and c_(2):y^(2)=4x is | alpha|

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 set of values of alpha in the interval [(pi)/(2),3(pi)/(2)1, for which the point (sin alpha,cos alpha)does not exist outside the parabola 2y^(2)+x-2=0

Find the values of alpha such that the variable point (alpha, "tan" alpha) lies inside the triangle whose sides are y=x+sqrt(3)-(pi)/(3), x+y+(1)/(sqrt(3))+(pi)/(6) = 0 " and " x-(pi)/(2) = 0

Find the set of all possible value of alpha for which point P(alpha,3 alpha) lies on the smaller region of 9x^(2)+16y^(2)=144 divided by the line 3x+4y=12