Intersection of an Equation and a Inequality
Source:
June 8, 2009
inequalitiesparameterizationanalytic geometrygraphing linesslopealgebrafunction
Problem Statement
The points that satisfy the system x \plus{} y \equal{} 1,\, x^2 \plus{} y^2 < 25, constitute the following set:
(A)\ \text{only two points} \qquad \\
(B)\ \text{an arc of a circle}\qquad \\
(C)\ \text{a straight line segment not including the end\minus{}points}\qquad \\
(D)\ \text{a straight line segment including the end\minus{}points}\qquad \\
(E)\ \text{a single point}