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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 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 3 1 , 1 lies on or inside the circle C, is-

1. An empty set
2. ⎥ ⎦ ⎤ ⎜ ⎝ ⎛ 9 65 , 6
3. ⎟ ⎠ ⎞ ⎢ ⎣ ⎡ 10 , 9 80
4. ⎥ ⎦ ⎤ ⎜ ⎝ ⎛ 9 92 , 9

Correct answer: ⎥ ⎦ ⎤ ⎜ ⎝ ⎛ 9 92 , 9

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