If a line segment \( A M=a \) moves in the plane \( X O Y \) remaining parallel to \( O X \) so ....

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If a line segment \( A M=a \) moves in the plane \( X O Y \) remaining parallel to \( O X \) so that the left end point \( A \)
\( \mathrm{P} \)
slides along the circle \( x^{2}+y^{2}=a^{2} \), the locus of \( M \) is
(1) \( x^{2}+y^{2}-4 a^{2} \)
(2) \( x^{2}+y^{2}=2 a x \)
(3) \( x^{2}+y^{2}=2 a y \)
(4) \( x^{2}+y^{2}-2 a x-2 a y=0 \)


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