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The line x + 2y = a intersects the circl...

The line `x + 2y = a` intersects the circle `x^2 + y^2 = 4` at two distinct points `A and B` Another line `12x - 6y - 41 = 0` intersects the circle `x^2 + y^2 - 4x - 2y + 1 = 0` at two `C and D`. The value of 'a' for which the points `A,B,C and D` are concyclic -

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