The endpoints of the longest chord of a circle are \( (-4,2) \) and...

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The endpoints of the longest chord of a circle are \( (-4,2) \) and \( (-6,-8) \). Find its centre.
(a) \( \left(-\frac{10}{3},-2\right) \)
(b) \( (-5,-2) \)
(c) \( (-5,-4) \)
(d) \( (-5,-3) \)
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