Let a line through the point \( P(5,10) \) cut the line I whose equ...

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Let a line through the point \( P(5,10) \) cut the line I whose equation is \( x+2 y=5 \), at \( Q \) and the circle \( C \) whose equation is \( x^{2}+y^{2}=25 \), at \( A \) and \( B \). Then
\( \mathrm{P} \)
(a) \( P \) is the pole of the line I with respect to the circle \( C \)
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(b) I is the polar of the point \( P \) with respect to the circle \( C \)
(c) PA, PQ, PB are in \( A P \)
(d) \( P Q \) is the \( H M \) of \( P A \) and \( P B \)
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