Find the equation of family of circles which are passing through the intersection of two circles S1: x2 + y2 - x + 7y - 3 = 0 and S2: x2 + y2 - 5x - y + 1 = 0 ?

1
(1 + λ) x2 + (1 + λ) y2 + (1 + 5λ) x + (7 - λ) y + (λ - 3) = 0
2
(1 + λ) x2 + (1 + λ) y2 - (1 + 5λ) x + (7 - λ) y + (λ - 3) = 0
3
(1 + λ) x2 + (1 + λ) y2 - (1 + 5λ) x + (7 - λ) y - (λ - 3) = 0
4
None of these

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