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1972 AMC 12 Question 11

AMC12 · 1972 AMC 12

Question 11

The value(s) of $y$ for which the following pair of equations $$
\begin{aligned} x^2+y^2-16&=0,\\ x^2-3y+12&=0 \end{aligned}
$$ may have a real common solution, are:
  1. $4$ only
  2. $-7,$ $4$
  3. $0,$ $4$
  4. no $y$
  5. all $y$