In the following circuit $I_1\text{ and }{I}_2$ are respectively

A circuit consisting of diodes and resistances.

As in figure, both the diodes are forward biased. So, it will allow current to flow from it.

Therefore, no current will flow from $12 k\Omega$ resistance.

After we remove  $12 k\Omega$, no current will flow from $14 k\Omega$ resistance

$$\begin{gathered} Therefore I_1=0 \\ and I_2=10/2000 =5 mA \end{gathered}$$