PYQ Vault

Day 310: NDA Maths

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

  1. Question 1

    Application of Derivatives. Asked once: NDA 1 2022

    65
    How many extreme values does sin⁡4x+2x\sin4x+2x, where 0<x<π20<x<\frac{\pi}{2}, have?

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  2. Question 2

    Complex Numbers. Asked once: NDA 1 2018

    15
    If α\alpha and β\beta are different complex numbers with ∣α∣=1|\alpha| = 1, then what is ∣α−β1−αβˉ∣\left|\frac{\alpha - \beta}{1 - \alpha\bar{\beta}}\right| equal to?

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  3. Question 3

    Conics. Asked once: NDA 2 2017

    54
    The position of the point (1,2)(1, 2) relative to the ellipse 2x2+7y2=202x^2 + 7y^2 = 20 is

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  4. Question 4

    Definite Integration. Asked once: NDA 1 2018

    79
    What is ∫0πexsin⁡x dx\int_{0}^{\pi}e^x\sin x\,dx equal to?

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  5. Question 5

    Differential Equations. Asked once: NDA 1 2018

    88
    Which differential equation has a periodic solution?

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