The equation of the circle, concentric with the circle x^2 + y^2 - 6x - 4y - 12 = 0 and touching the X-axis is

MHT CET 2024 Mathematics question

The equation of the circle, concentric with the circle and touching the X-axis is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The given circle has , , so its centre is . A concentric circle has the same centre. It touches the X-axis when its radius equals the distance of the centre from the X-axis, i.e. . The circle is

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Question ID VK-094937