The orthocenter of the triangle formed by the lines $xy =0$ and $x+y=1$ is

Question

$\begin{array}{1 1} \bigg(\large\frac{1}{2},\frac{1}{2}\bigg) \\ \bigg(\large\frac{1}{3},\frac{1}{3}\bigg) \\ (0,0) \\ \bigg(\large\frac{1}{4},\frac{1}{4}\bigg) \end{array} $