Find the the image of the point `(alpha, beta, gamma)` with respect to the plane `2x+y+z=6`.

Find the image of the point (p, q, r) with respect to the plane 2x+ y + z = 6. Hence find the image of the line (x-1)/2=(y-2)/1=(z-3)/4 with respect to the plane.

reflection of the point (alpha, beta, gamma) in the XY-plane is :

Find the image of the point (2,-3,4) with respect to the plane 4x+2y-4z+3=0

Let alpha , beta , gamma , delta be real numbers such that alpha^(2) +beta^(2) +gamma^(2) != 0 and alpha +gamma = 1 . Supose the point (3,2,-1) is the mirror image of the point (1,0,-1) with respect to the planet alphax + beta y + gammaz = delta . Then which of the following statements is/are TRUE ?

Find the reflection of the point (alpha, beta, gamma) in the XY-plane, YZ-plane and ZX plane.

Statement 1: If point (alpha, beta, gamma) lies above the plane (a^(2)+1)x+(b+1)y+(c^(2)+c+1)z+d=0 , then (a^(2)+1)alpha+(b+1)beta+(c^(2)+c+1)gamma+d gt 0 . because Statement 2: If the point (alpha, beta, gamma) lies above the plane ax+by+cz+d=0 then (a alpha+b beta+c gamma+d)/( c )gt 0 .

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

Let alpha,beta, gamma be three real numbers satisfying [(alpha,beta,gamma)][(2,-1,1),(-1,-1,-2),(-1,2,1)]=[(0,0,0)] . If the point A(alpha, beta, gamma) lies on the plane 2x+y+3z=2 , then 3alpha+3beta-6gamma is equal to

If the image of the point ( 1,-2,3) in the plane 2x + 3y -z =7 is the point ( alpha, beta , gamma ), then the value of alpha + beta + gamma is equal to