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1963 AMC 12 Question 17

AMC12 · 1963 AMC 12

Question 17

The expression

$$
\frac{\dfrac{a}{a+y}+\dfrac{y}{a-y}} {\dfrac{y}{a+y}-\dfrac{a}{a-y}},
$$

$a$ real, $a\ne0,$ has the value $-1$ for:
  1. all but two real values of $y$
  2. only two real values of $y$
  3. all real values of $y$
  4. only one real value of $y$
  5. no real values of $y$