1969 AHSME Problems/Problem 35

Problem

Let $L(m)$ be the $x$ coordinate of the left end point of the intersection of the graphs of $y=x^2-6$ and $y=m$ , where $-6<m<6$ . Let $r=[L(-m)-L(m)]/m$ . Then, as $m$ is made arbitrarily close to zero, the value of $r$ is:

$\text{(A) arbitrarily close to } 0\quad\\ \text{(B) arbitrarily close to }\frac{1}{\sqrt{6}}\quad \text{(C) arbitrarily close to }\frac{2}{\sqrt{6}} \quad \text{(D) arbitrarily large} \quad \text{(E) undetermined}$

Solution

$\fbox{B}$

1969 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 34	Followed by Problem 35
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1969 AHSME Problems/Problem 35

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