PYQ Vault

Day 306: NDA Maths

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

  1. Question 1

    Definite Integration. Asked once: NDA 1 2018

    93
    If ∫abx3 dx=0\int_a^b x^3\,dx=0 and ∫abx2 dx=2/3\int_a^b x^2\,dx=2/3, then a and b are respectively?

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  2. Question 2

    Differential Equations. Asked once: NDA 1 2018

    99
    What is the solution of (1+2x) dy - (1-2y) dx = 0?

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  3. Question 3

    Differentiation. Asked once: NDA 2 2022

    77
    If y=xx2−162−8ln⁡∣x+x2−16∣y = \frac{x\sqrt{x^2-16}}{2} - 8\ln\left|x+\sqrt{x^2-16}\right|, then what is dydx\frac{dy}{dx} equal to?

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  4. Question 4

    Functions. Asked once: NDA 2 2024

    76
    If f(2x)=4x2+1f(2x)=4x^2+1, then for how many real values of xx will f(2x)f(2x) be the GM of f(x)f(x) and f(4x)f(4x)?

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  5. Question 5

    Indefinite Integration. Asked once: NDA 2 2019

    81
    What is ∫dx2x2−2x+1\displaystyle\int \dfrac{dx}{2x^{2} - 2x + 1} equal to ?

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