A line segment of length 1 slides with its endpoints \( \mathrm{P} ...

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A line segment of length 1 slides with its endpoints
\( \mathrm{P} \)
always \( x \)-axis and \( y \)-axis respectively. Find the
W
locus of its midpoint.
(1) \( x^{2}+y^{2}=p^{2} \)
(2) \( x^{2}+y^{2}=4 l^{2} \)
(3) \( 4 x^{2}+4 y^{2}=p^{2} \)
(4) \( x^{2}+y^{2}=2 l^{2} \)
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