PYQ Vault

Day 323: NDA Maths

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

  1. Question 1

    Functions. Asked once: NDA 1 2023

    21
    How many real numbers satisfy the equation ∣x−4∣+∣x−7∣=15|x-4|+|x-7|=15?

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  2. Question 2

    Indefinite Integration. Asked once: NDA 2 2017

    67
    What is ∫tan⁡−1(sec⁡x+tan⁡x) dx\displaystyle\int \tan^{-1}(\sec x + \tan x)\,dx equal to?

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  3. Question 3

    Limits & Continuity. Asked once: NDA 1 2022

    74
    What is lim⁡x→0x3(cosec x)2\lim_{x\to0}x^3(\text{cosec}\,x)^2 equal to?

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  4. Question 4

    Lines. Asked once: NDA 1 2024

    53
    The number of points represented by the equation x=5x=5 on the xyxy-plane is

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  5. Question 5

    Logarithms. Asked once: NDA 2 2017

    25
    The value of 1log⁡3e+1log⁡3e2+1log⁡3e4+…\dfrac{1}{\log_3 e} + \dfrac{1}{\log_3 e^2} + \dfrac{1}{\log_3 e^4} + \ldots up to infinite terms is

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