Let α , β be the roots of x 2 + 5 x + 6 = 0 and γ , δ be the roots of y 2 + 6 y + 7 = 0 . Then the equation of the circle with ( α , γ ) and ( β , δ ) as the extremities of a diameter is

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Let α , β be the roots of x 2 + 5 x + 6 = 0 and γ , δ be the roots of y 2 + 6 y + 7 = 0 . Then the equation of the circle with ( α , γ ) and ( β , δ ) as the extremities of a diameter is, x 2 + y 2 + 5 x + 6 y + 10 = 0, x 2 + y 2 + 5 x + 6 y + 11 = 0, x 2 + y 2 + 5 x + 6 y + 13 = 0, x 2 + y 2 + 5 x + 6 y + 12 = 0

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