Difference between revisions of "1953 AHSME Problems/Problem 14"
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Given the larger of two circles with center <math>P</math> and radius <math>p</math> and the smaller with center <math>Q</math> and radius <math>q</math>. Draw <math>PQ</math>. Which of the following statements is false? | Given the larger of two circles with center <math>P</math> and radius <math>p</math> and the smaller with center <math>Q</math> and radius <math>q</math>. Draw <math>PQ</math>. Which of the following statements is false? | ||
| − | + | <math>\textbf{(A)}\ p-q\text{ can be equal to }\overline{PQ}\\ | |
\textbf{(B)}\ p+q\text{ can be equal to }\overline{PQ}\\ | \textbf{(B)}\ p+q\text{ can be equal to }\overline{PQ}\\ | ||
\textbf{(C)}\ p+q\text{ can be less than }\overline{PQ}\\ | \textbf{(C)}\ p+q\text{ can be less than }\overline{PQ}\\ | ||
| − | \textbf{(D)}\ p-q\text{ can be less than }\overline{PQ}\\ \textbf{(E)}\ \text{none of these} | + | \textbf{(D)}\ p-q\text{ can be less than }\overline{PQ}\\ \textbf{(E)}\ \text{none of these} </math> |
Revision as of 15:26, 15 July 2018
Problem 14
Given the larger of two circles with center 
and radius 
and the smaller with center 
and radius 
. Draw 
. Which of the following statements is false?
