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`.

Find the range of (alpha,2+alpha) and ((3 alpha)/(2),a^(2)) lie on the opposite sides of the line 2x+3y=6.

If alpha,beta(alpha,beta) are the points of discontinuity of the function f(f(x)), where f(x)=(1)/(1-x) then the set of values of a foe which the points (alpha,beta) and (a,a^(2)) lie on the same side of the line x+2y-3=0, 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

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

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

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

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

Values of alpha for which abs((1,3/2,alpha+3/2),(1,1/3,alpha+1/3),(2alpha+3,3alpha+1,0))=0 lies in the interval