\( A \) and \( B \) are two feed points whose coordinates are \( (3,2) \) and \( (5,4) \) respec...

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\( A \) and \( B \) are two feed points whose coordinates are \( (3,2) \) and \( (5,4) \) respectively. The co-ordinates of a point \( P \) if \( A B P \) is an equilateral triangle, is/are
(a) \( (4-\sqrt{3}, 3+\sqrt{3}) \)
(b) \( (4+\sqrt{3}, 3-\sqrt{3}) \)
(c) \( (3-\sqrt{3}, 4+\sqrt{3}) \)
(d) \( (3+\sqrt{3}, 4-\sqrt{3}) \)
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