If the circles ${x^2}\, + {y^2}\, - 16x\, - 20y\, + \,164\,\, = \,\,{r^2}$ and ${(x - 4)^2} + {(y - 7)^2} = 36$ intersect at two distinct points, then

  • [JEE MAIN 2019]
  • A

    $0 < r < 1$

  • B

    $1 < r < 11$

  • C

    $r>11$

  • D

    $r=11$

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  • [JEE MAIN 2022]