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If a variable line, $3 x + 4 y - λ = 0$ is such that the two circle $x^{2} + y^{2} - 2 x - 2 y + 1 = 0$ and $x^{2} + y^{2} - 18 x - 2 y + 78 = 0$ are on its opposite sides, then the set of all values of $λ$ is the interval ( without cutting a chord on either of a circle)

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[13,23]

(2,17)

[12,21]

(23,31)

answer is C.

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