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If a variable line, 3x + 4y – λ = 0 is such that the two circles x 2 + y 2 – 2x – 2y + 1 = 0 and x 2 + y 2 – 18x – 2y + 78 = 0 are on its opposite sides, then the set of all values of λ is the interval :

1. (23, 31)
2. (2, 17)
3. [13, 23]
4. [12, 21]

Correct answer: [12, 21]

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