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 (1, −1/3) lies on or inside the circle C, is-

JEE Main 2022 Mathematics question

The set of values of k, for which the circle C : lies inside the fourth quadrant and the point (1, −1/3) lies on or inside the circle C, is-

Answer: (4)

The point (1, −1/3) lies on or inside C: , so . The circle + k/4 = 0 has centre (3/2, −1) and radius $r =

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Question ID VK-034517