JEE Advanced Mathematics question
A circle of radius 2 touches the coordinate axes in the first quadrant. If the circle makes a complete rotation on the -axis along the positive direction of the -axis then the equation of the circle in the new position is
Answer: (A)
Solution
Initially the centre is and the radius is . When a circle rolls (without slipping) through one complete turn, its centre moves forward by the circumference , while its
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