With one focus of the hyperbola $\frac{{{x^2}}}{9}\,\, - \,\,\frac{{{y^2}}}{{16}}\,\, = \,\,1$ as the centre , a circle is drawn which is tangent to the hyperbola with no part of the circle being outside the hyperbola. The radius of the circle is

  • A

    $less\ than$ $2$

  • B

    $2$

  • C

    $\frac{{11}}{3}$

  • D

    $none$

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