PYQ Vault

Day 301: NDA Maths

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

  1. Question 1

    Conics. Asked once: NDA 1 2019

    55
    The two parabolas y2=4axy^2=4ax and x2=4ayx^2=4ay intersect

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  2. Question 2

    Definite Integration. Asked once: NDA 1 2018

    94
    What is ∫01x(1−x)9 dx\int_{0}^{1}x(1-x)^9\,dx equal to?

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  3. Question 3

    Differential Equations. Asked once: NDA 1 2018

    86
    What is the solution of the differential equation x dy - y dx = 0?

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  4. Question 4

    Differentiation. Asked once: NDA 2 2022

    89
    If y=ln⁡2 ⁣(x2−x+1x2+x+1)y = \ln^2\!\left(\frac{x^2-x+1}{x^2+x+1}\right), then what is dydx\frac{dy}{dx} at x=0x=0 equal to?

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  5. Question 5

    Functions. Asked once: NDA 2 2024

    78
    If f(x)=9x−8xf(x)=9^x-8^x such that g(x)=f(x)−1g(x)=f(x)-1, then which one of the following is correct?

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