Difference between revisions of "1957 AHSME Problems/Problem 34"

Revision as of 06:59, 26 July 2024

Problem

The points that satisfy the system $x + y = 1,\, x^2 + y^2 < 25$ , constitute the following set:

$\textbf{(A)}\ \text{only two points} \qquad \\ \textbf{(B)}\ \text{an arc of a circle}\qquad \\ \textbf{(C)}\ \text{a straight line segment not including the end-points}\qquad\\ \textbf{(D)}\ \text{a straight line segment including the end-points}\qquad\\ \textbf{(E)}\ \text{a single point}$

Solution

$\fbox{\textbf{(C)} a straight line segment not including the end-points}$ .

1957 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 33	Followed by Problem 35
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

@@ Line 12: / Line 12: @@
 == See Also ==
-{{AHSME 50p box|year=1957|ab=b|num-b=31|num-a=33}}
+{{AHSME 50p box|year=1957|num-b=33|num-a=35}}
 {{MAA Notice}}
 [[Category:AHSME]][[Category:AHSME Problems]]

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Difference between revisions of "1957 AHSME Problems/Problem 34"

Revision as of 06:59, 26 July 2024

Problem

Solution

See Also