The equation of the circle concentric with circle x^2+y^2-6x+7=0 and which touches the line x+y+3=0 is

MHT CET 2026 Mathematics question

The equation of the circle concentric with circle and which touches the line is

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

Answer: (B)

Solution

The given circle has centre . A concentric circle has the same centre, and since it touches its radius equals the perpendicular distance from the centre to the line: , so

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Question ID VK-097607