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A circle passes through $(−2, 4)$ and touches the y-axis at $(0, 2)$. Which one of the following equations can represent a diameter of this circle ?

$\begin{array}{1 1}(1) (T, T) \\ (2) (T, F) \\ (3) (F, T) \\ (4) (F, F) \end{array} $

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