1957 AHSME Problems/Problem 34

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 AHSCb (Problems • Answer Key • Resources)
Preceded by Problem 31	Followed by Problem 33
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1957 AHSME Problems/Problem 34

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