# Are they related?

Geometry Level 5

Problem 1

Given $$N$$ distinct reals, we can select two $$x,y$$ such that $$0<\frac{x-y}{1+xy}<\frac{1}{\sqrt{3}}$$

The smallest possible value of $$N$$ such that the statement above is true for all sets of reals is $$A$$.

Problem 2 $$\tan{(15^{\circ})}=B$$

Find $$B^2+(A-4B)$$

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