For \( z \in C \) if the minimum value of \( (|z-3 \sqrt{2}|+|z-p \sqrt{2} i|) \) is \( 5 \sqrt{...

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For \( z \in C \) if the minimum value of \( (|z-3 \sqrt{2}|+|z-p \sqrt{2} i|) \) is \( 5 \sqrt{2} \), then \( a \) value of \( p \) is
(a) 3
(b) \( \frac{7}{2} \)
(c) 4
(d) \( \frac{9}{2} \)
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