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Day 332: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 1 2021

    107
    What is the sum of deviations of the variate values 73, 85, 92, 105, 120 from their mean?

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  2. Question 2

    Trigonometric Equations. Asked once: NDA 1 2018

    41
    If x, x−yx-y and x+yx+y are angles of a triangle (not equilateral) such that tan⁡(x−y)\tan(x-y), tan⁡x\tan x, tan⁡(x+y)\tan(x+y) are in GP, then x equals?

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  3. Question 3

    Trigonometric Identities. Asked once: NDA 1 2022

    33
    What is sin⁡2(π4+θ)−sin⁡2(π4−θ)\sin^2\left(\frac{\pi}{4}+\theta\right)-\sin^2\left(\frac{\pi}{4}-\theta\right) equal to?

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  4. Question 4

    Vectors. Asked once: NDA 1 2022

    99
    Let a⃗,b⃗,c⃗\vec{a}, \vec{b}, \vec{c} be three non-zero vectors such that a⃗×b⃗=c⃗\vec{a}\times\vec{b}=\vec{c}. Consider the following statements: 1. a⃗\vec{a} is unique if b⃗\vec{b} and c⃗\vec{c} are given 2. c⃗\vec{c} is unique if a⃗\vec{a} and b⃗\vec{b} are given Which of the above statements is/are correct?

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  5. Question 5

    Application of Derivatives. Asked once: NDA 1 2021

    82
    The curve y=−x3+3x2+2x−27y=-x^3+3x^2+2x-27 has the maximum slope at

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