A point $P$ has the same abscissa and ordinate, both equal to $4$. The point lies:

A point $P$ has the same abscissa and ordinate, both equal to $4$. The point lies:
  1. On the $x$-axis
  2. On the $y$-axis
  3. On the line $y=x$ in quadrant I
  4. In quadrant III

Solution

$P=(4,4)$. Points with $x=y$ lie on the line $y=x$; since both are positive, $P$ is in quadrant I.

Asked in: IMO

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