PYQ Vault
EbooksTutor

Day 202: NDA Maths

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

  1. Question 1

    Functions. Asked once: NDA 1 2018 (same type asked 3 times)

    84
    If f:R→Sf:\mathbb{R}\to S, f(x)=4sin⁡x−3cos⁡x+1f(x)=4\sin x-3\cos x+1 is onto, what is S?

    Tap an option to check your answer.

  2. Question 2

    Limits & Continuity. Asked once: NDA 2 2017 (same type asked 3 times)

    64
    Consider the following: 1. x+x2x + x^2 is continuous at x=0x = 0. 2. x+cos⁡1xx + \cos\dfrac{1}{x} is discontinuous at x=0x = 0. 3. x2+cos⁡1xx^2 + \cos\dfrac{1}{x} is continuous at x=0x = 0. Which of the above are correct?

    Tap an option to check your answer.

  3. Question 3

    Sets & Relations. Asked once: NDA 2 2019 (same type asked 3 times)

    39
    Let S={2,4,6,8,…,20}S = \{2, 4, 6, 8, \ldots, 20\}. What is the maximum number of subsets does SS have ?

    Tap an option to check your answer.

  4. Question 4

    Indefinite Integration. Asked once: NDA 2 2018 (same type asked 3 times)

    84
    What is ∫eln⁡(tan⁡x) dx\int e^{\ln(\tan x)}\,dx equal to?

    Tap an option to check your answer.

  5. Question 5

    Limits & Continuity. Asked once: NDA 2 2018 (same type asked 3 times)

    100
    What is lim⁡x→π62sin⁡2x+sin⁡x−12sin⁡2x−3sin⁡x+1\lim_{x\to\frac{\pi}{6}}\frac{2\sin^2x+\sin x-1}{2\sin^2x-3\sin x+1} equal to?

    Tap an option to check your answer.