Determine the value of equivalent resistance
across nodes A and B.

Correct option is A

As capacitor behaves like an open circuit and inductor as a short circuit for d.c. respectively. The given circuit reduces to–

Above bridge circuit is at balanced condition. Thus

$$\mathbf{R_{AB}} = (3 + 3) \parallel (3 + 3) = 6 \parallel 6 \\[8pt]\quad = \frac{6 \times 6}{6 + 6} = 3 \ \Omega$$​