The vertices of a variable triangle are \( (3,4),(5 \cos \theta \),...

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The vertices of a variable triangle are \( (3,4),(5 \cos \theta \), \( 5 \sin \theta) \), and \( (5 \sin \theta,-5 \cos \theta) \), where \( \theta \in R \). The locus of
\( \mathrm{P} \) its orthocenter is

W
(1) \( (x+y-1)^{2}+(x-y-7)^{2}=100 \)
(2) \( (x+y-7)^{2}+(x-y-1)^{2}=100 \)
(3) \( (x+y-7)^{2}+(x+y-1)^{2}=100 \)
(4) \( (x+y-7)^{2}+(x-y+1)^{2}=100 \)
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