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A triangle is constructed using the wire...

A triangle is constructed using the wires `AB, BC` and `CA` of same material and of resistance `alpha, 2alpha` and `3 alpha` respectively. Another wire of resistance `alpha//3` from `A` can make a sliding contact with wire `BC`. Find the maximum resistance of the network between point `A` and the point of sliding wire with `BC`.

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`(3//11)alpha`
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