The normal to the curve , $x^2+2xy-3y^2=0$ at $(1,1)$

Question

$\begin{array}{1 1} \text{Does not meet the curve again } \\\text{meets the curve again in the third quadrant } \\ \text{meets the curve again in the third quadrant } \\ \text{meets the curve again in the fourth quadrant } \end{array}$