The set of values of k, for which the circle $C:4{x^2} + 4{y^2} - 12x + 8y + k = 0$ lies inside the fourth quadrant and the point $\left( {1, - {1 \over 3}} \right)$ lies on or inside the circle C, is :

Question

an empty set

$\left( {6,{{65} \over 9}} \right]$

$\left[ {{{80} \over 9},10} \right)$

$\left( {9,{{92} \over 9}} \right]$

Solution

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