Let $a_1, a_2, a_3, \ldots$. be a $GP$ of increasing positive numbers. If the product of fourth and sixth terms is $9$ and the sum of fifth and seventh terms is $24 ,$ then $a_1 a_9+a_2 a_4 a_9+a_5+a_7$ is equal to $.........$.

  • [JEE MAIN 2023]
  • A

    $600$

  • B

    $606$

  • C

    $60$

  • D

    $6$

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