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Day 346: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 2 2019

    117
    If the range of a set of observations on a variable XX is known to be 25 and if Y=40+3XY = 40 + 3X, then what is the range of the set of corresponding observations on YY ?

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  2. Question 2

    Trigonometric Identities. Asked once: NDA 1 2021

    32
    If tan⁡A=17\tan A = \frac{1}{7}, then what is cos⁡2A\cos 2A equal to?

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  3. Question 3

    Vectors. Asked once: NDA 1 2021

    72
    Consider the following statements in respect of a vector c⃗=a⃗+b⃗\vec{c}=\vec{a}+\vec{b}, where ∣a⃗∣=∣b⃗∣≠0|\vec{a}|=|\vec{b}|\neq0: 1. c⃗\vec{c} is perpendicular to (a⃗−b⃗)(\vec{a}-\vec{b}). 2. c⃗\vec{c} is perpendicular to (a⃗×b⃗)(\vec{a}\times\vec{b}). Which of the above statements is/are correct?

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  4. Question 4

    Application of Derivatives. Asked once: NDA 2 2018

    94
    What is the minimum value of [x(x−1)+1]13[x(x-1)+1]^{\frac{1}{3}}, where 0≤x≤10\leq x\leq 1?

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  5. Question 5

    Differentiation. Asked once: NDA 2 2018

    27
    Suppose f(x) is such a quadratic expression that it is positive for all real x. If g(x)=f(x)+f′(x)+f′′(x)g(x) = f(x) + f'(x) + f''(x), then for any real x

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