A variable circle passes through the fixed point \(A(p, q)\) and touches \(x\)-axis. The locus of the other end of the diameter through \(\mathrm{A}\) is
(A) \((x-p)^{2}=4 q y\)
(B) \((x-q)^{2}=4 p y\)
(C) \((y-p)^{2}=4 q x\)
(D) \((y-q)^{2}=4 p x\)
Ans(A)
