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Day 176: NDA Maths

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

  1. Question 1

    Differential Equations. Asked once: NDA 2 2021 (same type asked 4 times)

    87
    What is the degree of the differential equation of all circles touching both the coordinate axes in the first quadrant?

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  2. Question 2

    Differential Equations. Asked once: NDA 1 2019 (same type asked 4 times)

    81
    The solution of the differential equation dydx=cos⁡(y−x)+1\dfrac{dy}{dx}=\cos(y-x)+1 is

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  3. Question 3

    Functions. Asked once: NDA 2 2022 (same type asked 4 times)

    Consider the following statements: 1. If f is the subset of Z × Z defined by f = {(xy, x−y); x, y ∈ Z}, then f is a function from Z to Z. 2. If f is the subset of N × N defined by f = {(xy, x+y); x, y ∈ N}, then f is a function from N to N.
    4
    Which of the statements given above is/are correct?

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 1 2023 (same type asked 4 times)

    7
    Consider the following statements in respect of square matrices AA, BB, CC each of same order nn: 1. AB=AC⇒B=CAB=AC\Rightarrow B=C if AA is non-singular 2. If BX=CXBX=CX for every column matrix XX having nn rows then B=CB=C Which of the statements given above is/are correct?

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  5. Question 5

    Probability. Asked once: NDA 2 2022 (same type asked 4 times)

    109
    Three fair dice are thrown. What is the probability of getting a total greater than or equal to 15?

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