[" 2.Show that the equations "],[qquad ax+by+r=0,by+cz+y=0,cz+ax+q=0]

Show that the equations ax+by+r=0 by + cz + p =0, cz+ax+q=0 represents the planes perpendicular to xy, yz, zx - planes respectively.

Show that the equations ax+by+r=0, by+cz+p=0, cz+ax+q=0 represents the planes perpendicular to xy, yz, zx-planes respectively.

Show that the planes ax+by+r=0,by +cz+p=0 and cz+ax+q=0 are prependicular to xy,yz and zx planes respectively.

If pqrne0 and the system of equations (p + a) x + by + cz = 0 , ax + (q + b)y + cz = 0 ,ax + by + (r + c) z =0 has a non-trivial solution, then value of (a)/(p) + (b)/(q) + (c )/(r ) is a)-1 b)0 c)1 d)2

Consider the linear equations ax +by+cz=0,bx+cy+az=0 and cx+ay+bz=0

If a,b,c in R and a+b+c=0 and th esystem of equations ax+by+cz=0,bx+cy+az=0,cx+ay+bz=0 has a non-zero solution,then a:b:c is given by

Let a,b,c,x,y and z be real numbers that satisfy the three equations 13x+by+cz=0 ,ax+23y+cz=0 ,ax+by+42z=0 Suppose that a!=13 and x!=0 What is the absolute value of (13)/(a-13)+(23)/(b-23)+(42)/(c-42)?