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

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

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

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

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|

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha =a and x sin alpha - y cos alpha =b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then (a^(2)-b^(2))/2 is equal to

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