If $a _{1}, a _{2}, a _{3} \ldots$ and $b _{1}, b _{2}, b _{3} \ldots$ are $A.P.$ and $a_{1}=2, a_{10}=3, a_{1} b_{1}=1=a_{10} b_{10}$ then $a_{4} b_{4}$ is equal to

  • [JEE MAIN 2022]
  • A

    $\frac{35}{27}$

  • B

    $1$

  • C

    $\frac{27}{28}$

  • D

    $\frac{28}{27}$

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