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Multiple choice

If the roots of the equation ${ px }^{ 2 }+ qx+ r =0$, where $2p, q, 2r$ are in $G.P$ are of the ${ \alpha }^{ 2 }, 4\alpha-4$ than the value of $2p+ 4q+ 7r$ is :

  1. $82$
  2. $10$
  3. $14$
  4. $18$
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