A tangent is drawn to ellipse x2/9 + y2/27 = 1 at (3 cos θ, 3√3 sin θ), where θ ∈ (0, π/2). If the sum of intercepts on both axes is minimum, the value of tan2θ is

1
31/3
2
31/2
3
21/3
4
21/2

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