(B) The centres of two circles are $C_1(-\lambda, 0)$ and $C _2(0,-2)$ and their radii are $\sqrt{\lambda^2-2}$ and $\sqrt{2}$. The given circles touches each other, if $\sqrt{\lambda^2+4}=\sqrt{\lambda^2-2}+\sqrt{2}$ $\Rightarrow \lambda^2+4=\lambda^2-2+2+2 \sqrt{2} \sqrt{\lambda^2-2}$ $\Rightarrow \sqrt{2}=\sqrt{\lambda^2-2}$ $\Rightarrow \lambda^2=4$ $\Rightarrow \lambda= \pm 2$
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