Compute $\frac{1+2i}{3-4i}$ in standard form $a+bi$, reduced to lowest terms.

$-11+10i$

$\frac{11}{25}-\frac{10}{25}i$

$\frac{1}{5}-\frac{2}{5}i$

$-\frac{1}{5}+\frac{2}{5}i$