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Answer: The equivalent resistance will be 8 ohm and 4 ohm.
Explanation:
Let us considered , , , and
Case (I)-
When switch S is open
Then, and in parallel and and in parallel but will not active
Therefore, the equivalent resistance is between points A and B
For first case, when and in parallel
For second case, when and in parallel
Now, and in series
Case (II)-
When switch S is close
Then, and in parallel and and in parallel and in also parallel
Therefore, the equivalent resistance is between points A and B
For first case, when and in parallel
For second case, when and in parallel
Now, and in series
Hence, The equivalent resistance will be 8 ohm and 4 ohm.