If If lines `px + by = c, ax + qy = c and ax + by = r(a!=p ,b!=q ,c!=r)` are concurrent then find the value and `p/(p-a)+q/(q-b)+r/(r-c)dot`

a!=p,b!=q,c!=r and det[[p,b,ca,q,ca,q,ca,b,r]] value of (p)/(p-a)+(q)/(q-b)+(r)/(r-c),=

If det[[p,b,ca,q,ca,b,r]]=0, find the value of (p)/(p-a)+(q)/(q-b)+(r)/(r-c),p!=a,q!=b,r!=c

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 lines px+qy+r=0,qx+ry+p=0 and rx+py+q=0 are concurrent,then prove that p+q+r=0 (where p,q,r are distinct )