Multiple choice

Let $\pi,\beta \epsilon R,\alpha { ,\beta }^{ 2 }$ be the roots of quadratic equation $x^2-px=1=0$ and $\pi^2,\beta $ be the roots of quadratic equation $x^2-qx=8=0$.If $\dfrac { r }{ 8 } $ be the arithmetic mean of p and q then the value of r is

  1. $\dfrac { 83 }{ 8 } $
  2. $\dfrac { 83 }{ 4 } $
  3. $\dfrac { 83 }{ 2 } $
  4. $83$
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