A line cuts the \(x\)-axis at \(A(7,0)\) and the \(y\)-axis at \(B(0,-5)\). A variable line \(P Q\) is drawn perpendicular to \(A B\) cutting the \(x\)-axis at \(P(a, 0)\) and the \(y\)-axis at \(Q(0, b)\). If \(A Q\) and \(B P\) intersect at \(R\), the locus of \(R\) is
(A) \(x^{2}+y^{2}+7 x+5 y=0\)
(B) \(x^{2}+y^{2}+7 x-5 y=0\)
(C) \(x^{2}+y^{2}-7 x+5 y=0\)
(D) \(x^{2}+y^{2}-7 x-5 y=0\)
Ans: (C)
