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The set of values of k for which the circle C : 4x^2 + 4y^2 - 12x + 8y + k = 0 lies inside the fourth quadrant and the point

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The set of values of k for which the circle C : 4x2 + 4y2 - 12x + 8y + k = 0 lies inside the fourth quadrant and the point (1, - 1/3) lies on or inside the circle C is :

(A) An empty set

(B) (6,95/9]

(C) [80/9,10)

(D) (9, 92/9]

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Correct option is (D) (9, 92/9]

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