Multiple Choice Questions on The minimum value of 16 tan2 theta 25cot2 theta is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

The minimum value of 16 tan2 theta 25cot2 theta is ........

Quantitative Aptitude ( CCS) Trignometry
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    The minimum value of 16 tan2 θ + 25cot2 θ is

    5

    Incorrect Answer

    4

    Incorrect Answer

    30

    Incorrect Answer

    40

    Correct Answer
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    Explanation:
    Comparing 16 tan2 θ + 25cot2 θ with  a tan2 θ + b cot2 θ, we get
    a = 16
    and, b = 25
    We know that the minimum value of such equation = 2√ab
    Thus the minimum value = 2√(16 × 25)
    ⇒ 2 × 4 × 5 = 40

    By: Amit Kumar
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