A circle which touches the axes, and whose centre is at distance 2 2 from the origin, has the equation

JEE Advanced Mathematics question

A circle which touches the axes, and whose centre is at distance from the origin, has the equation

Answer: (A),(B),(C)

A circle touching both axes has centre and radius ; distance from is , so . The four circles are

(x∓+(y∓=4 ⇒

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Question ID VK-108975