Thevenin’s equivalent resistance Rth for the network shown

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Thevenin’s equivalent resistance R_th for the network shown in the given figure is known to be 2Ω. The value of R in ohms is __________

1. 0
2. 1
3. 2
4. 3

Correct Option: B

Drawing equivalent of the given circuit, we have

R_TH = (2 | | 2)Ω = 1Ω