PYQ Vault

Day 319: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Complex Numbers. Asked once: NDA 1 2017

    14
    The number of roots of the equation z2=2zˉz^2 = 2\bar{z} is

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  2. Question 2

    Differentiation. Asked once: NDA 1 2022

    71
    Let y=[x+1]y=[x+1], −4<x<−3-4<x<-3 where [.][.] is the greatest integer function. What is the derivative of yy with respect to xx at x=−3.5x=-3.5?

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  3. Question 3 (case study, 2 parts)

    Functions. Asked once: NDA 2 2023

    A function is defined by f(x)=π+sin⁡2xf(x)=\pi+\sin^2 x.
    49
    What is the range of the function?

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    50
    What is the period of the function?

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  4. Question 4

    Indefinite Integration. Asked once: NDA 2 2018

    83
    What is ∫sin⁡3xcos⁡x dx\int\sin^3 x\cos x\,dx equal to?

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  5. Question 5

    Limits & Continuity. Asked once: NDA 2 2022

    85
    What is lim⁡x→π/24x−2πcos⁡x\lim_{x\to\pi/2}\frac{4x-2\pi}{\cos x} equal to?

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