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Let 0 < θ < 2 π . If the eccentricity of the hyperbola θ 2 2 cos x – θ 2 2 sin y = 1 is greater than 2, then the length of its latus rectum lies in the interval :

1. (3, ∞ )
2. (1, 3/2]
3. (3/2, 2]
4. (2, 3]

Correct answer: (3, ∞ )

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