Mathematics

Mathematics

Problem

C1C_1 is a circle of radius 2 touching X-axis and Y-axis. C2C_2 is another circle of radius greater than 2 and touching the axes as well as the circle C1C_1. Statement I Radius of Circle $C_2 = \sqrt{2}(\sqrt{2}+1)(\sqrt{2}+2) Statement II Centres of both circles always lie on the line y=xy = x .

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