$A$ variable circle passes through the fixed point $A(p, q)$ and touches the $x$-axis. The locus of the other end of the diameter through $A$ is

  • A
    $(y-q)^2=4px$
  • B
    $(x-q)^2=4py$
  • C
    $(y-p)^2=4qx$
  • D
    $(x-p)^2=4qy$

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