1953 AMC 12 Question 14
AMC12 · 1953 AMC 12
Given the larger of two circles with center $P$ and radius $p$ and the smaller with center $Q$ and radius $q.$ Draw $\overline{PQ}.$ Which of the following statements is false?
$p-q$ can be equal to $\overline{PQ}$
$p+q$ can be equal to $\overline{PQ}$
$p+q$ can be less than $\overline{PQ}$
$p-q$ can be less than $\overline{PQ}$
none of these