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When two circles of radii r₁ and r₂ have their centres at a distance d apart, then length of the common transverse tangent is:

\( \sqrt{d^{2}-\left(r_{1}+r_{2}\right)^{2}} \)
\( \sqrt{d-\left(r_{1}-r_{2}\right)^{2}} \)
\( \sqrt{d^{2}+\left(r_{1}-r_{2}\right)^{2}} \)
\( \sqrt{d^{2}-\left(r_{1}-r_{2}\right)^{2}} \)

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