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The normal to the curve $y(x−2)(x−3)=x+6$ at the point where the curve intersects the y-axis passes through the point :

$\begin{array}{1 1} (1) \bigg(\large\frac{1}{2},\frac{1}{2} \bigg) \\ (2) \bigg(\large\frac{1}{2},-\frac{1}{3} \bigg) \\ (3) \bigg(\large\frac{1}{2},\frac{1}{3} \bigg) \\ (4) \bigg(-\large\frac{1}{2},-\frac{1}{2} \bigg)\end{array} $

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