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

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

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

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)=

If alpha,beta,gamma are cube roots of of p<0 then for any real x,y,z;(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

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

If alpha,beta,gamma are the roots of the equation x^(3)+4x+1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=

If A=[alpha beta gamma-alpha] is such that A^(2)=I, then 1+alpha^(2)+beta gamma=0( b) 1-alpha^(2)+beta gamma=0 (c) 1-alpha^(2)-beta gamma=0 (d) 1+alpha^(2)-beta gamma=0

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=