What is the equation of the locus of a point which moves such that 4 times its distance from the $x$-axis, is the square of its distance from the origin?

(A) $x^2+y^2-4 y=0$

(B) $x^2+y^2-4|y|=0$

(C) $x^2+y^2-4 x=0$

(D) $x^2+y^2-4|x|=0$

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