‘A’ and ‘B’ are two fixed points in a field. A cyclist C moves such that ACB is always a right angle. In this context, which one of the following statements is correct?

1. (a)The path followed by the cyclist is an ellipse
2. (b)The path followed by the cyclist is a circle
3. (c)The path followed by the cyclist is an exponential curve
4. (d)This type of motion is not possible