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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