If `|[p,q,r],[p,q,x],[x,q,r]|=0` , then find `x`

If |[p,q-y,r-z],[p-x,q,r-z],[p-x,q-y,r]|=0 find the value of p/x+q/y+r/z

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

Let A=[[0,2q,r] , [p,q,-r] , [p,-q,r]] If A A^T=I_3 then |p|=

If f(x) = |[x+p,x+a,x+a],[x+b,x+q,x+a],[x+b,x+b,x+r]| and g(x)=(p-x)(q-x)(r-x) , then the value of f(0) is

|(x,p,q),(p,x,q),(p,q,x)| =

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