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(D) Let the radii of the circles be $r_1$ and $r_2$ and the distance between their centers be $d$.If two circles have no common points,they can be in

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There will be no common tangents or there will be four common tangents to $C_1$ and $C_2$

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(D) Let the radii of the circles be $r_1$ and $r_2$ and the distance between their centers be $d$.If two circles have no common points,they can be in two configurations:$1$. One circle lies entirely inside the other: In this case,$d $2$. The circles are completely separate from each other: In this case,$d > r_1 + r_2$,and there are $4$ common tangents ($2$ direct and $2$ transverse).Therefore,there will be either $0$ or $4$ common tangents.

Suppose $C_1$ and $C_2$ are two circles having no common points,then

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