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The line Ax+By+=0 cuts the circle by x^2...

The line Ax+By+=0 cuts the circle by `x^2+y^2+Ax+By+C=0`at P and Q. The line A'x +B'x+C'=0 cuts the circle `x^2+y^2+a'x+b'y+c'=0` at R and S.If P,Q, R and S are concyclic then show that `det (( a-a", b-b',c-c'),(A,B,C),(A',B',C'))=0`

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