Difference between revisions of "1951 AHSME Problems/Problem 36"
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==Problem== | ==Problem== | ||
+ | Which of the following methods of proving a geometric figure a locus is not correct? | ||
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+ | <math> \textbf{(A)}\ \text{Every point of the locus satisfies the conditions and every point not on the locus does}\ \text{not satisfy the conditions.} </math> | ||
+ | <math> \textbf{(B)}\ \text{Every point not satisfying the conditions is not on the locus and every point on the locus}\ | ||
+ | \text{does satisfy the conditions.} </math> | ||
+ | <math> \textbf{(C)}\ \text{Every point satisfying the conditions is on the locus and every point on the locus satisfies}\ \text{the conditions.} </math> | ||
+ | <math> \textbf{(D)}\ \text{Every point not on the locus does not satisfy the conditions and every point not satisfying}\ \text{the conditions is not on the locus.} </math> | ||
+ | <math> \textbf{(E)}\ \text{Every point satisfying the conditions is on the locus and every point not satisfying the} \ \text{conditions is not on the locus.} </math> | ||
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==Solution== | ==Solution== | ||
− | + | Statement <math>\boxed{\textbf{(B)}}</math> is wrong because it does not imply that all points that satisfy the conditions are on the locus. | |
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== See Also == | == See Also == | ||
{{AHSME 50p box|year=1951|num-b=35|num-a=37}} | {{AHSME 50p box|year=1951|num-b=35|num-a=37}} |
Latest revision as of 14:21, 19 April 2014
Problem
Which of the following methods of proving a geometric figure a locus is not correct?
Solution
Statement is wrong because it does not imply that all points that satisfy the conditions are on the locus.
See Also
1951 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 35 |
Followed by Problem 37 | |
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