Circle(s) touching X-axis at a distance 3 from the origin and having an intercept of length 2 7 on Y-axis is/are

MHT CET Mathematics question

Circle(s) touching X-axis at a distance from the origin and having an intercept of length on Y-axis is/are

Answer: (C)

Touching the -axis at gives centre and radius ; the -intercept is , so and . The circles are $ + ∓ 6x ∓ 8y +

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Question ID VK-027540