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  1. The minimum value of 4 tan²θ + 9 cot²θ is equal to
    1. 0
    2. 5
    3. 12
    4. 13
Correct Option: C

4 tan⊃θ + 9 cot⊃θ
= (2tanθ – 3cotθ)⊃ + 2 × 3 × 2
∴ Minimum value = 12
[∵ (2tanθ – 3cotθ)⊃ ≥ 0]


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