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2011 AMC 12B Question 14

AMC12 · 2011 AMC 12B

Question 14

A segment through the focus $F$ of a parabola with vertex $V$ is perpendicular to $\overline{FV}$ and intersects the parabola in points $A$ and $B.$ What is $\cos(\angle AVB)?$
  1. $-\dfrac{3\sqrt{5}}{7}$
  2. $-\dfrac{2\sqrt{5}}{5}$
  3. $-\dfrac{4}{5}$
  4. $-\dfrac{3}{5}$
  5. $-\dfrac{1}{2}$