[" If "a!=p,b!=q,c!=r" and the system of equation "],[qquad [px+by+cz=0],[ax+qy+cz=0],[ax+by+rz=0]],[" has a non-zero solution,then value of "],[(p)/(p-a)+(q)/(q-b)+(r)/(r-c)" is "],[" A."2],[" ."-1]

If p!=a,q!=b,r!=cand the system of equations px+ay+az=0 and bx+qy+bz=0 and cx+cy+rz=0 has a non-trivial solution,then the value of (p)/(p-a)+(q)/(q-b)+(r)/(r-c) is

If the system of equtions px+by+cz=0, ax+qy+cz=0, ax+by+rz=0 has a non - trivial solution and pneq, qnebb, r nec , prove that (p)/(p-a)+(q)/(q-b)+(r)/(r-c)=2 .

If pqr!=0 and the system of equation (p+a)x+by+cz=0ax+(q+b)y+cz=0ax+by+(r+c)z=0 has nontrivial solution,then value of (a)/(p)+(b)/(q)+(c)/(r) is -1 b.0 c.0d.neg-2

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

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 the homogeneous system of linear equations px+y+z=0,x+qy+z=0, and x+y+rz=0 ,where p,q,r!=1, have anon-zero solution,then the value of (1)/(1-p)+(1)/(1-q)+(1)/(1-r) is