The vertices of \( \triangle A B C \) are \( A(2,0,0), B(0,1,0), C(...

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The vertices of \( \triangle A B C \) are \( A(2,0,0), B(0,1,0), C(0,0,2) \). Its orthocentre is \( H \) and circumcentre is \( S . P \) is a point equidistant from \( A, B, C \) and the origin \( O \).
\( \mathrm{P} \) The \( z \)-coordinate of \( H \) is :

W
(a) 1
(b) \( 1 / 2 \)
(c) \( 1 / 6 \)
(d) \( 1 / 3 \)
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