Determine the effective resistance between the points A and B

Explanation

Let equivalent resistance between A `&` B be R then

`rArr (2R)/(R+2)+1=R`
`rArr2R+R+2=R^(2)+2RrArrR^(2)-R-2=0`
`rArrR=(1+sqrt(1-4(1)(-2)))/ (2xx1)=(1+-sqrt(1+8))/(2)rArrR=2Omega`