Teaching NVS PGT 2024 Test Series Mathematics Three Dimensional Geometry Angle between two lines

The difference of the tangents of the angles which the lines (tan2 α  + cos2 α) x2 - 2xy tan α + (sin2α)y2 = 0 make with the X - axis is 

1
\(\frac{1}{2}\)
2
1
3
2
4
\(\frac{\sqrt3-1}{2}\)
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