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 :

Question

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