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Show that the straight lines (A^2-3B^2)x...

Show that the straight lines `(A^2-3B^2)x^2+ 8ABxy + (B^2-3A^2)y^2 = 0` form with the line Ax + By + C = 0 an equilateral triangle whose area is `(C^2)/(sqrt3 (A^2+B^2))`

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