First two resistors will be in parallel. So,1r+1r=2r\frac{1}{r}+\frac{1}{r}=\frac{2}{r}r1+r1=r2
Now this resistor and the third resistor will be connected in series. So,
r2+r=3r2\frac{r}{2}+r=\frac{3r}{2}2r+r=23r
Hence, the net resistance will be equal to 3r2=6ohm\frac{3r}{2}=6ohm23r=6ohm
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