MathDB

9

Part of 2003 AMC 12-AHSME

Problems(2)

Symmetric Set of Points

Source:

2/17/2008
A set S S of points in the xy xy-plane is symmetric about the origin, both coordinate axes, and the line y \equal{} x. If (2,3) (2, 3) is in S S, what is the smallest number of points in S S?
<spanclass=′latex−bold′>(A)</span> 1<spanclass=′latex−bold′>(B)</span> 2<spanclass=′latex−bold′>(C)</span> 4<spanclass=′latex−bold′>(D)</span> 8<spanclass=′latex−bold′>(E)</span> 16 <span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ 4 \qquad <span class='latex-bold'>(D)</span>\ 8 \qquad <span class='latex-bold'>(E)</span>\ 16
analytic geometry
Linear Function

Source:

1/4/2009
Let f f be a linear function for which f(6)\minus{}f(2)\equal{}12. What is f(12)\minus{}f(2)? <spanclass=′latex−bold′>(A)</span> 12<spanclass=′latex−bold′>(B)</span> 18<spanclass=′latex−bold′>(C)</span> 24<spanclass=′latex−bold′>(D)</span> 30<spanclass=′latex−bold′>(E)</span> 36 <span class='latex-bold'>(A)</span>\ 12 \qquad <span class='latex-bold'>(B)</span>\ 18 \qquad <span class='latex-bold'>(C)</span>\ 24 \qquad <span class='latex-bold'>(D)</span>\ 30 \qquad <span class='latex-bold'>(E)</span>\ 36
functionanalytic geometrygraphing linesslope