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JEE Advance - Mathematics (1992 - No. 6)

Show that the value of $${{\tan x} \over {\tan 3x}},$$ wherever defined never lies between $${1 \over 3}$$ and 3.
The range of the expression is (-∞, 1/3] ∪ [3, ∞).
The range of the expression is (-∞, 1/3] ∪ [1, ∞).
The range of the expression is (-∞, 1/3] ∪ (1, ∞).
The range of the expression is (-∞, 3] ∪ [3, ∞).
The range of the expression is (-∞, 1/3) ∪ [3, ∞).

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