A rectangle of maximum area is inscribed in the circle \( |z-3-4 i|=1 \). If one vertex of the r...

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A rectangle of maximum area is inscribed in the circle \( |z-3-4 i|=1 \). If one vertex of the rectangle is \( 4+4 i \), then find the another adjacent vertex of this rectangle?
(a) \( 3-5 i \) or \( 3-3 i \)
(b) \( 3-5 i \) or \( 3+3 i \)
(c) \( 3+5 i \) or \( 3-3 i \)
(d) \( 3+5 i \) or \( 3+3 i \)
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