Which of the following points lies on BOTH the $x$-axis and the $y$-axis?

Which of the following points lies on BOTH the $x$-axis and the $y$-axis?
  1. $(1,0)$
  2. $(0,1)$
  3. $(0,0)$
  4. No such point exists

Solution

The only point common to both axes is their intersection, the origin $(0,0)$.

Asked in: IMO

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