PYQ Vault

Day 356: NDA Maths

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

  1. Question 1

    Functions. Asked once: NDA 1 2020

    84
    What is the domain of the function f(x)=cos⁡−1(x−2)f(x)=\cos^{-1}(x-2)?

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  2. Question 2

    Limits & Continuity. Asked once: NDA 1 2017

    71
    What is lim⁡x→0ex−(1+x)x2\lim_{x\to 0}\dfrac{e^x-(1+x)}{x^2} equal to?

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  3. Question 3

    Lines. Asked once: NDA 2 2019

    53
    What is the distance between the points P(mcos⁡2α, msin⁡2α)P(m\cos2\alpha,\, m\sin2\alpha) and Q(mcos⁡2β, msin⁡2β)Q(m\cos2\beta,\, m\sin2\beta) ?

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 2 2023

    4
    If A=(123)A = \begin{pmatrix}1\\2\\3\end{pmatrix}, then what is the value of det⁡(I+AA′)\det(I + AA'), where II is the 3×33 \times 3 identity matrix?

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  5. Question 5

    Probability. Asked once: NDA 2 2022

    102
    What is the probability of getting a composite number in the list of natural numbers from 1 to 50?

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