The planes `x=cy+bz,y=az+cx,z=bx+ay` intersect in a line if `(a+b+c)^(2)` is equal to

The planes bx-ay=n,cy-bz=l,az-cx=m intersect in a line if___

The planes bx - ay = n, cy - bz = I, az - cx= m intersect in a line if

Given that the system of equations x=cy+bz,y=az+cx,z=bx+ay has non-zero solutions and atleast one of a,b,c is a proper fraction. a^2+b^2+c^2 is

Given that the system of equations x=cy+bz,y=az+cx,z=bx+ay has non-zero solutions and atleast one of a,b,c is a proper fraction. The system has solution ,such that-

Given that the system of equations x=cy+bz,y=az+cx,z=bx+ay has non-zero solutions and atleast one of a,b,c is a proper fraction. abc is-

If the planes x=cy+bz,y=az+cx and z=bx+ay pass through a line then a^(2)+b^(2)+c^(2)+2abc is equal to

If x ^(2) + y ^(2) + z ^(2)ne 0, x= cy + bz, y= az +cx, and z= bx + ay, a ^(2) + b ^(2) + c ^(2) + 2 abc is equal to

If the planes y=az+cx, x=cy+bz+z=bx+ay meet in a line show that the line of intersection of these planes is x/sqrt(1-a^2)=y/sqrt(1-b^2)=z/sqrt(1-c^2)