If one common tangent of the two circles $x^2 + y^2 = 4$ and ${x^2} + {\left( {y - 3} \right)^2} = \lambda ,\lambda > 0$ passes through the point $\left( {\sqrt 3 ,1} \right)$, then possible value of $\lambda$ is
If one common tangent of the two circles $x^2 + y^2 = 4$ and ${x^2} + {\left( {y - 3} \right)^2} = \lambda ,\lambda > 0$ passes through the point $\left( {\sqrt 3 ,1} \right)$, then possible value of $\lambda$ is
- A
$\frac{1}{4}$
- B
$\frac{1}{2}$
- C
$1$
- D
$2$
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- [IIT 1989]