If the circle has both x and y axes as tangents and has radius 1 unit then the equation of the circle is
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According to the given condition centre of the circle comes out to be (1,1).
Now
(x-1)^2 +(y-1)^2= 1
x^2 +y^2 -2x -2y +1= 0
Now
(x-1)^2 +(y-1)^2= 1
x^2 +y^2 -2x -2y +1= 0
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