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Day 99: NDA Maths

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

  1. Question 1

    Differential Equations. Asked once: NDA 2 2025 (same type asked 4 times)

    94
    If kk is an arbitrary constant, then what is the general solution of the equation (x+y)2dydx=k2(x+y)^2\dfrac{dy}{dx}=k^2?

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  2. Question 2

    Functions. Asked once: NDA 2 2023 (same type asked 4 times)

    23
    Consider the statements: (1) f(x)=x3, 0≤x≤2f(x)=x^3,\ 0\le x\le2 and 4x, 2≤x≤84x,\ 2\le x\le8 is a function. (2) g(x)=x2, 0≤x≤4g(x)=x^2,\ 0\le x\le4 and 3x, 4≤x≤83x,\ 4\le x\le8 is a function. Which is/are correct?

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  3. Question 3

    Limits & Continuity. Asked once: NDA 2 2022 (same type asked 4 times)

    86
    If f(x)=x2+x+∣x∣xf(x) = \frac{x^2+x+|x|}{x}, then what is lim⁡x→0f(x)\lim_{x\to 0} f(x) equal to?

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 2 2024 (same type asked 4 times)

    5
    Let AA and BB be two square matrices of same order. If ABAB is a null matrix, then which one of the following is correct?

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  5. Question 5

    Probability. Asked once: NDA 2 2023 (same type asked 4 times)

    104
    Three dice are thrown. What is the probability of getting a sum which is a perfect square?

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