# Difference between revisions of "2003 AMC 12A Problems/Problem 9"

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== See Also == | == See Also == | ||

*[[2003 AMC 12A Problems]] | *[[2003 AMC 12A Problems]] | ||

− | *[[2003 AMC 12A/Problem 8|Previous Problem]] | + | *[[2003 AMC 12A Problems/Problem 8|Previous Problem]] |

− | *[[2003 AMC 12A/Problem 10|Next Problem]] | + | *[[2003 AMC 12A Problems/Problem 10|Next Problem]] |

[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] |

## Revision as of 10:59, 16 November 2008

## Problem

A set of points in the -plane is symmetric about the orgin, both coordinate axes, and the line . If is in , what is the smallest number of points in ?

## Solution

If is in , then is also, and quickly we see that every point of the form or must be in . Now note that these points satisfy all of the symmetry conditions. Thus the answer is .