One of them is not like the other

Geometry Level 3

Given that a triangle $ABC$ with none of its angles equals to $90^\circ$ and a non-zero area, with $\tan(A) = x$ and $\tan(B) = y$ .

Express $\tan(C)$ in terms of $x$ and $y$ .

\frac{x+y}{xy}

x + y

\frac{x+y}{1-xy}

\frac{x+y}{xy-1}

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