Find the currents $I_1$ and $I_2$ for the circuit shown in given figure.

Consider node $a$, using Kirchhoff's current law

(using $+$ for $I_{in}$ $-$ for $I_{out}$)

$\sum I_{at\, a\, node} = 0$

$-3+2+I_{ab} = 0$

$I_{ab} = 1 A$

Consider node $b$,

$I_{ba}+7+I_1 = 0$ ($I_{ab} = -I_{ba}$)

$-1-7 +I_1=0$

$I_1 = -6A$

Consider node $d$ ,

$I_{dc} +4-1 = 0$

$I_{dc} = -3 A$

Consider node $c$,

$-I_2+6+I_{cd} = 0$

$-I_2+6+3 = 0$

$I_2 = 9A$

$option\, A\, is\, correct$