PYQ Vault

Day 343: NDA Maths

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

  1. Question 1

    Quadratic Equations. Asked once: NDA 1 2017

    12
    If the graph of a quadratic polynomial lies entirely above the x-axis, then which one of the following is correct?

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  2. Question 2

    Sequence & Series. Asked once: NDA 1 2019

    1
    What is the nthn^{th} term of the sequence 25,−125,625,−3125,…25, -125, 625, -3125, \ldots?

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  3. Question 3

    Statistics. Asked once: NDA 1 2020

    109
    What is the standard deviation of the observations −6,−5,−4,−1,1,4,5,6-\sqrt{6}, -\sqrt{5}, -\sqrt{4}, -1, 1, \sqrt{4}, \sqrt{5}, \sqrt{6}?

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  4. Question 4

    Trigonometric Identities. Asked once: NDA 1 2022

    28
    If α+β=π4\alpha+\beta=\frac{\pi}{4} and 2tan⁡α=12\tan\alpha=1, then what is tan⁡2β\tan2\beta equal to?

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  5. Question 5

    Vectors. Asked once: NDA 1 2021

    75
    Consider the following statements: 1. The cross product of two unit vectors is always a unit vector. 2. The dot product of two unit vectors is always unity. 3. The magnitude of sum of two unit vectors is always greater than the magnitude of their difference. Which of the above statements are not\textbf{\text{not}} correct?

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