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Axis of a parabola lies along x-axis. If its vertex and focus are at distance 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it ?

(1) $(4,\ -4)$

(2) $(5,\ 2\sqrt6)$

(3) $(8,\ 6)$

(4) $(6,\ 4\sqrt2)$
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