If the sum of the $n$ terms of $G.P.$ is $S$ product is $P$ and sum of their inverse is $R$, than ${P^2}$ is equal to

  • [IIT 1966]
  • A

    $\frac{R}{S}$

  • B

    $\frac{S}{R}$

  • C

    ${\left( {\frac{R}{S}} \right)^n}$

  • D

    ${\left( {\frac{S}{R}} \right)^n}$

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  • [JEE MAIN 2022]

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  • [IIT 1968]

$0.5737373...... = $