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

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 the three planes x=5,2x-5ay+3z-2=0 and 3bx+y-3z=0 contain a common line, then (a,b) is equal to

Let a,b,c, be any real number. Suppose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx and z=bx+ay. Then a^(2)+b^(2)+c^(2) +2abc is equal to

Under what condition do the planes bx-ay=n,cy-bz=l,az-cx=m intersect in a line?

Given x=cy+bz,y=az+cx and z=bx+ay, then prove a^(2) +b^(2) +c^(2) +2abc =1.

Given x = cy +bz, y = az + cx, z = bx+ ay where x,y and z are not all zero, then a^2 + b^2 + c^2 + 2abc = ___________

Under what condition do the planes bx-ay=n,cy-bz=l,az-cx=m interest in a line?

If =cy+bz,y=az+cx,z=x+ay, wherex ,yx=cy+bz,y=az+cx,z=x+ay, wherex ,y are not all zeros,then find the value of a^(2)+b^(2)+c^(2)+2abc