Let Point $\mathrm{P}(\mathrm{x}, \mathrm{y})$ $$ \begin{aligned} & Y-y=y^{\prime}(X-x) \\ & Y=0 \Rightarrow X=x-\frac{y}{y^{\prime}} \\ & Q\left(x-\frac{y}{y^{\prime}}, 0\right) \end{aligned} $$ Mid Point of PQ lies on axis $$ \begin{aligned} & x-\frac{y}{y^{\prime}}+x=0 \\ & y^{\prime}=\frac{y}{2 x} \Rightarrow 2 \frac{d y}{y}=\frac{d x}{x} \\ & 2 \ell n y=\ell n x+\ell n k \\ & y^2=k x \end{aligned} $$ It passes through $(3,3) \Rightarrow \mathrm{k}=3$ curve $\mathrm{c} \Rightarrow \mathrm{y}^2=3 \mathrm{x}$ Length of L.R. $=3$ $$ \text { Focus }=\left(\frac{3}{4}, 0\right) $$