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Day 227: NDA Maths

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

  1. Question 1

    Sets & Relations. Asked once: NDA 1 2018 (same type asked 6 times)

    6
    Let A and B be subsets of X and C=(A∩B′)∪(A′∩B)C = (A \cap B') \cup (A' \cap B), where A' and B' are complements of A and B in X. What is C equal to?

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  2. Question 2

    Differential Equations. Asked once: NDA 2 2017 (same type asked 6 times)

    81
    The order and degree of the differential equation [1+(dydx)2]3=ρ2[d2ydx2]2\left[1+\left(\dfrac{dy}{dx}\right)^2\right]^3 = \rho^2\left[\dfrac{d^2y}{dx^2}\right]^2 are respectively

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  3. Question 3 (case study, 2 parts)

    Application of Derivatives. Asked once: NDA 2 2019 (same type asked 5 times)

    Directions for the following two (02) items : Read the following information and answer the two items that follow : Consider the function f(x)=3x4−20x3−12x2+288x+1f(x) = 3x^{4} - 20x^{3} - 12x^{2} + 288x + 1.
    89
    In which one of the following intervals is the function increasing ?

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    90
    In which one of the following intervals is the function decreasing ?

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  4. Question 4

    Limits & Continuity. Asked once: NDA 1 2018 (same type asked 5 times)

    73
    If f(x)=∣x∣+∣x−1∣f(x)=|x|+|x-1|, which is correct?

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  5. Question 5

    Matrices & Determinants. Asked once: NDA 2 2023 (same type asked 5 times)

    19
    The value of the determinant of a matrix AA of order 3 is 3. If CC is the matrix of cofactors of AA, then what is the value of det⁡(C2)\det(C^2)?

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