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The set of values of k, for which the ci...

The set of values of k, for which the circle C : `4x^2 + 4y^2 - 12 x + 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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