PYQ Vault

Day 307: NDA Maths

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

  1. Question 1

    Inverse Trigonometry. Asked once: NDA 2 2017

    40
    The principal value of sin⁡−1x\sin^{-1} x lies in the interval

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  2. Question 2

    Limits & Continuity. Asked once: NDA 2 2024

    79
    What is lim⁡θ→π/2(sec⁡θ−tan⁡θ)\displaystyle\lim_{\theta\to\pi/2}(\sec\theta-\tan\theta) equal to?

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  3. Question 3

    Lines. Asked once: NDA 2 2024

    37
    What is the maximum number of possible points of intersection of four straight lines and a circle (intersection is between lines as well as between circle and lines)?

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  4. Question 4

    Logarithms. Asked once: NDA 2 2019

    36
    If xlog⁡7x>7x^{\log_{7} x} > 7 where x>0x > 0, then which one of the following is correct ?

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  5. Question 5

    Matrices & Determinants. Asked once: NDA 2 2025

    45
    Consider the following statements about the matrix M=(712348572829651748)M=\begin{pmatrix}71&23&48\\57&28&29\\65&17&48\end{pmatrix}: Statement-I: The inverse of MM does not exist. Statement-II: MM is non-singular. Which one of the following is correct?

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