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JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

is a circle of radius 1 touching the -axis and the -axis. is another circle of radius and touching the axes as well as the circle . Then the radius of is

Answer: (B)

Solution

*(Figure: with centre in the first quadrant, and a larger circle with centre touching both axes and touching externally; both centres lie on .)*

Take in the first quadrant: centre , radius . also touches both axes and , so its centre is with

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Question ID VK-108898