Let $L$ be the line passing through the point $P(1, 2)$ such that its intercepted segment between the co-ordinate axes is bisected at $P$. If $L_1$ is the line perpendicular to $L$ and passing through the point $(-2, 1)$, then the point of intersection of $L$ and $L_1$ is :

Question

( A ) $(\frac{3}{5}, \frac{23}{10})$
( B ) $(\frac{3}{10}, \frac{17}{5})$
( C ) $(\frac{4}{5}, \frac{12}{5})$
( D ) $\frac{11}{20}, \frac{29}{10})$