JEE Advance - Mathematics (1995 - No. 9)
The orthocentre of the triangle formed by the lines $$xy=0$$ and $$x+y=1$$ is
$$\left( {{1 \over 2},\,{1 \over 2}} \right)$$
$$\left( {{1 \over 3},\,{1 \over 3}} \right)$$
$$\left( {0,\,0} \right)$$
$$\left( {{1 \over 4},\,{1 \over 4}} \right)$$