Question

A circle of radius ‘5’ touches the coordinate axes in the first quadrant. If the circle makes one complete roll on x-axis along the positive direction, then its equation in new position is

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Intial centre of the circle is c=(5,5) and after completing one complete revolution the centre of the circel is $5+!0\pi$
So the equation of the circle in the new position is $(x-5-10\pi {)}^2+(y-5{)}^2=5^2$