Find the range of `(alpha,2+alpha)` and `((3alpha)/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

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 .

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

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

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

If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi] are two points on the same side of the line 3x - 2y +1 = 0 then alpha belongs to the interval

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