Question

A line cuts the \(x\)-axis at \(A(5,0)\) and the \(y\)-axis at \(B(0,-3)\). Avariable line \(P Q\) is drawn perpendicular to \(A B\) cutting the \(x\)-axis at \(P\) and the \(y\)-axis at \(Q\). If \(A Q\) and \(B P\) meet at \(R\), then the locus of \(R\) is
(A) \(x^{2}+y^{2}-5 x+3 y=0\)
(B) \(x^{2}+y^{2}+5 x+3 y=0\)
(C) \(x^{2}+y^{2}+5 x-3 y=0\)
(D) \(x^{2}+y^{2}-5 x-3 y=0\)
Ans: (A)

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