The equation of plane parallel to the plane `x+y+z=0` and passing through `(alpha, beta, gamma0` is (A) `x+y+z=alpha+beta+gamma` (B) `x+y+z=alphabeta+betagamma+gammaalpha` (C) `x+y+z+alpha+beta+gamma=0` (D) none of these

If 2x^(3) + 3x^(2) + 5x +6=0 has roots alpha, beta, gamma then find alpha + beta + gamma, alphabeta + betagamma + gammaalpha and alpha beta gamma

The equation of the plane which makes with coordinate axes a triangle with its centroid (alpha, beta, gamma) is (A) alphax+betay+gammaz=3 (B) x/alpha+y/gamma+z/gamma=1 (C) alphax+betay+gammaz=1 (D) x/alpha+y/beta+z/gamma=3

The equations of the line through the point (alpha, beta, gamma) and equally inclined to the axes are (A) x-alpha=y-beta=z-gamma (B) (x-1)/alpha=(y-1)/beta=(z-1)/gamma (C) x/alpha=y/beta=z/gamma (D) none of these

The equations of the line through the point (alph, beta, gamma) and equally inclined to the axes are (A) x-alphay-beta=z-gamma (B) (x-1)/alpha=(y-1)/beta=(z-1)/gamma (C) x/alpha=y/beta=z/gamma (D) none of these

Show that | (1,1,1), (alpha ^ 2, beta ^ 2, gamma ^ 2), (alpha ^ 3, beta ^ 3, gamma ^ 3) | = (alpha-beta) (beta-gamma) (gamma-alpha) (alphabeta + betagamma + gammaalpha) |

If alpha,beta,gamma are the cube roots of p, then for any x,y,z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

A line makes angles alpha, beta, gamma with X, Y, Z axes respectively. If alpha=beta and gamma=45^(@) , then alpha+beta+gamma=

The direction angles of the line x=4z+3, y=2-3z are alpha, beta and gamma , then cos alpha +cos beta+ cos gamma = ____