Prove that the length of the common chor...

Prove that the length of the common chord of the two circles whose equations are `( x - a) ^(2) + ( y - b) ^(2) = c^(2) and ( x - b) ^(2) + ( y - a) ^(2) = c^(2)` is ` sqrt(4 c^(2) - 2 ( a - b) ^(2))`
Hence find the condition that the two circles may touch

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