The points (2 ,1)(3 ,-2) and `(alpha ,beta)` form a triangle of area 4 square units.If the point `(alpha, beta)` lies on the line y=x+3 then the value of `alpha+beta` is (are)

I If a point (alpha,beta) lies on the circle x^(2)+y^(2)=1 then the locus of the point (3 alpha.+2,beta), is

If (alpha , beta) is the point on y^2=6x , that is closest to (3,3/2) then find the value of 2(alpha+beta)

If alpha, beta are the roots of equation 3x^(2)-4x+2=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

The graph of 2x=5-3y cuts the x-axis at the point P(alpha,beta) . The value of (2alpha+beta) is :

If alpha^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

If 2x+3y+4=0 is perpendicular bisector of the segment joining the points A(1,2) and B(alpha,beta) then the value of alpha+beta is

If alpha and beta are zeroes of the polynomial 3x^(2)+6x+1 , then find the value of alpha+beta+alpha beta .

Let A(-2,-1),B(1,0),C(alpha,beta) and D(gamma,delta) be the vertices of a parallelogram ABCD .If the point C lies on 2x-y=5 and the point D lies on 3x-2y=6 ,then the value of |alpha+beta+gamma+delta| is equal to: