Problem:
For how many values of is it true that the line passes through the vertex of the parabola ?
Answer Choices:
A.
B.
C.
D.
E. infinitely many
Solution:
The vertex of the parabola is . The line passes through the vertex if and only if . There are solutions to this equation, namely and .
The problems on this page are the property of the MAA's American Mathematics Competitions