Which of the following statements are true and which are false? Give reasons for your answers.

$(i)$ Only one line can pass through a single point.

$(ii)$ There are an infinite number of lines which pass through two distinct points.

$(iii)$ A line can be produced indefinitely on both sides.

$(iv)$ If two circles are equal, then their radii are equal.

$(v)$ if $AB=PQ$ and $PQ=XY$, then $AB=XY$.