Circle
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A circle S ≡ x 2 + y 2 + 2 g x + 2 f y + 6 = 0 cuts another circle x 2 + y 2 − 6 x − 6 y − 6 = 0 orthogonally. If the angle between the circles S = 0 and x 2 + y 2 + 6 x + 6 y + 2 = 0 is 60 ∘ , then the radius of the circle S = 0 is
[TG EAPCET 9 May 2024 Shift 1]
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