The equation of the circle in the first quadrant touching each coordinate axis at a distance of one unit from the origin is:
The equation of the circle in the first quadrant touching each coordinate axis at a distance of one unit from the origin is:
(A) x2 + y2 – 2x – 2y + 1= 0
(B) x2 + y2 – 2x – 2y – 1 = 0
(C) x2 + y2 – 2x – 2y = 0
(D) x2 + y2 – 2x + 2y – 1 = 0
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The correct choice is (A), since the equation can be written as (x – 1)2 + (y – 1)2 = 1 which represents a circle touching both the axes with its centre (1, 1) and radius one unit.
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