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Day 133: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: NDA 1 2018 (same type asked 2 times)

    106
    Consider statements: 1. r=0 => regression lines parallel 2. r=+1 => regression lines perpendicular Which is/are correct?

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  2. Question 2

    Trigonometric Identities. Asked once: NDA 1 2024 (same type asked 2 times)

    47
    If f(θ)=11+tan⁡θf(\theta)=\dfrac{1}{1+\tan\theta} and α+β=5π4\alpha+\beta=\dfrac{5\pi}{4}, then what is the value of f(α)⋅f(β)f(\alpha)\cdot f(\beta)?

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  3. Question 3

    Trigonometric Identities. Asked once: NDA 1 2017 (same type asked 2 times)

    48
    If tan⁡(α+β)=2\tan(\alpha+\beta)=2 and tan⁡(α−β)=1\tan(\alpha-\beta)=1, then tan⁡(2α)\tan(2\alpha) is equal to

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  4. Question 4

    Application of Derivatives. Asked once: NDA 1 2017 (same type asked 2 times)

    82
    What is the length of the longest interval in which the function f(x)=3sin⁡x−4sin⁡3xf(x)=3\sin x - 4\sin^3 x is increasing?

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  5. Question 5

    Application of Derivatives. Asked once: NDA 2 2021 (same type asked 2 times)

    82
    Consider the following statements in respect of the function f(x)=x2+1f(x)=x^{2}+1 in the interval (1,2)(1,2): 1. The maximum value of the function is 5. 2. The minimum value of the function is 2. Which of the above statements is/are correct?

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