a student randomly picked three different points on a line, and then noticed that all three points were also on on the same circle

C)It is impossible.

Step-by-step explanation:

According to the situation, the three different points should not be on the same line as it is possible that the circle would possibly a radius of infinite which reflects the impossible as it is nothing but infinite true. So, it is impossible that three different picked points on a line could be on a circle.

There is no straight section across a curvature of a circle as the points cannot be the same distance from the middle as it is the definition of a circle.

So, the correct answer is C

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