PYQ Vault
BankGuidesNotes
Sign in

Build a question paper in 60 seconds.

Filter past-year questions by exam, chapter, difficulty, and year. Download the Question Paper + Answer Key as Word files. Free, no sign-up.

public questions
12,733
public questions
forever, no sign-up
Free
forever, no sign-up

All questions

12,733 questions available

ChaptersAll

Pick a subject to see chapters

SubtopicsAll

Pick at least one chapter

All
  • Set · 2 questions
    Let f(x)=x−3∣x−3∣+a; x<3f(x)=\frac{x-3}{|x-3|}+a;\ x<3f(x)=∣x−3∣x−3​+a; x<3, a−b; x=3a-b;\ x=3a−b; x=3, x−3∣x−3∣+b; x>3\frac{x-3}{|x-3|}+b;\ x>3∣x−3∣x−3​+b; x>3. f(x)f(x)f(x) is continuous at x=3x=3x=3.
    • Q11726
      Lever: Modulus / absolute value behaviourConcept: Finding parameters so f is continuous

      Tap an option to check your answer.

      [Q59 · Sep · 2023]
    • Q11727
      Lever: Modulus / absolute value behaviourConcept: Finding parameters so f is continuous

      Tap an option to check your answer.

      [Q60 · Sep · 2023]
  • Set · 2 questions
    Let I=∫−2π2πsin⁡4x+cos⁡4x1+3x dxI=\int_{-2\pi}^{2\pi}\frac{\sin^4x+\cos^4x}{1+3^x}\,dxI=∫−2π2π​1+3xsin4x+cos4x​dx.
    • Q11728
      NDA Maths strategyConcept: Odd/even symmetry over a symmetric interval

      Tap an option to check your answer.

      [Q61 · Sep · 2023]
    • Q11729
      NDA Maths strategyConcept: Odd/even symmetry over a symmetric interval

      Tap an option to check your answer.

      [Q62 · Sep · 2023]
  • Set · 2 questions
    Let f(x)=axx+1+b, x<1f(x)=\frac{ax}{x+1}+b,\ x<1f(x)=x+1ax​+b, x<1 and x−1, 1≤x≤2\sqrt{x-1},\ 1\leq x\leq2x−1​, 1≤x≤2.
    • Q11730
      Lever: Differentiability at a pointConcept: Finding parameters so f is differentiable

      Tap an option to check your answer.

      [Q63 · Sep · 2023]
    • Q11731
      Lever: Modulus / absolute value behaviourConcept: Left-hand and right-hand limits

      Tap an option to check your answer.

      [Q64 · Sep · 2023]
  • Q11732
    Lever: Modulus / absolute value behaviourConcept: The chain rule (composite functions)

    Tap an option to check your answer.

    [Q65 · Sep · 2023]
  • Q11733
    NDA Maths strategyConcept: The chain rule (composite functions)

    Tap an option to check your answer.

    [Q66 · Sep · 2023]
  • Q11734
    NDA Maths strategyConcept: Integrals of periodic functions

    Tap an option to check your answer.

    [Q67 · Sep · 2023]
  • Q11735
    Lever: Modulus / absolute value behaviourConcept: Below the Axis, Loops & the Factor of 2

    Tap an option to check your answer.

    [Q68 · Sep · 2023]
  • Q11736
    NDA Maths strategyConcept: Order and degree of a differential equation

    Tap an option to check your answer.

    [Q69 · Sep · 2023]
  • Q11737
    NDA Maths strategyConcept: Eliminating arbitrary constants

    Tap an option to check your answer.

    [Q70 · Sep · 2023]
  • Set · 2 questions
    Let a1,a2,a3,…a_1,a_2,a_3,\ldotsa1​,a2​,a3​,… be in AP such that a1+a5+a10+a15+a20+a25+a30+a34=300a_1+a_5+a_{10}+a_{15}+a_{20}+a_{25}+a_{30}+a_{34}=300a1​+a5​+a10​+a15​+a20​+a25​+a30​+a34​=300.
    • Q11738
      NDA Maths strategyConcept: The arithmetic mean and symmetric terms

      Tap an option to check your answer.

      [Q71 · Sep · 2023]
    • Q11739
      NDA Maths strategyConcept: The arithmetic mean and symmetric terms

      Tap an option to check your answer.

      [Q72 · Sep · 2023]
  • Set · 2 questions
    Let p=cos⁡π5cos⁡2π5p=\cos\frac{\pi}{5}\cos\frac{2\pi}{5}p=cos5π​cos52π​ and q=cos⁡4π5cos⁡8π5q=\cos\frac{4\pi}{5}\cos\frac{8\pi}{5}q=cos54π​cos58π​.
    • Q11740
      NDA Maths strategyConcept: Product-to-sum formulas

      Tap an option to check your answer.

      [Q73 · Sep · 2023]
    • Q11741
      NDA Maths strategyConcept: Product-to-sum formulas

      Tap an option to check your answer.

      [Q74 · Sep · 2023]
  • Set · 2 questions
    Let p=13−tan⁡3xtan⁡xp=\dfrac{1}{3}-\dfrac{\tan 3x}{\tan x}p=31​−tanxtan3x​ and q=1−3tan⁡2x, 0<x<π, x≠π2q=1-3\tan^2 x,\ 0<x<\pi,\ x\neq\dfrac{\pi}{2}q=1−3tan2x, 0<x<π, x=2π​.
    • Q11742
      Lever: Double / half-angle formulasConcept: Triple-angle formulas

      Tap an option to check your answer.

      [Q75 · Sep · 2023]
    • Q11743
      Lever: Double / half-angle formulasConcept: Triple-angle formulas

      Tap an option to check your answer.

      [Q76 · Sep · 2023]
  • Set · 2 questions
    Let sin⁡x+sin⁡y=3(cos⁡y−cos⁡x)\sin x+\sin y=\sqrt{3}(\cos y-\cos x)sinx+siny=3​(cosy−cosx); x+y=π2x+y=\frac{\pi}{2}x+y=2π​, 0<x,y<π20<x,y<\frac{\pi}{2}0<x,y<2π​.
    • Q11744
      Lever: Double / half-angle formulasConcept: Triple-angle formulas

      Tap an option to check your answer.

      [Q77 · Sep · 2023]
    • Q11745
      Lever: Double / half-angle formulasConcept: Triple-angle formulas

      Tap an option to check your answer.

      [Q78 · Sep · 2023]
  • Set · 2 questions
    The angles AAA, BBB and CCC of triangle ABCABCABC are in the ratio 3:5:43:5:43:5:4.
    • Q11746
      Lever: Sine rule + Cosine ruleConcept: Angle Ratios ↔ Side Ratios

      Tap an option to check your answer.

      [Q79 · Sep · 2023]
    • Q11747
      Lever: Sine rule + Cosine ruleConcept: Angle Ratios ↔ Side Ratios

      Tap an option to check your answer.

      [Q80 · Sep · 2023]
  • Q11748
    NDA Maths strategyConcept: The Latus Rectum

    Tap an option to check your answer.

    [Q81 · Sep · 2023]
  • Q11749
    NDA Maths strategyConcept: Parallel and perpendicular conditions

    Tap an option to check your answer.

    [Q82 · Sep · 2023]
  • Q11750
    NDA Maths strategyConcept: Parallel and perpendicular conditions

    Tap an option to check your answer.

    [Q83 · Sep · 2023]
PrevPage 470 of 510Next
1…469470471…510

From the team at LWS Pune — free for teachers.

NDA Maths GuideNDA English GuideNDA Physics GuideNDA Chemistry GuideNDA Biology GuideNDA Geography GuideNDA History GuideNDA Polity GuideNDA Economics GuideNDA Current Affairs GuideNDA NotesMHT-CET NotesReport a questionGitHub
PYQ Vault
BankGuidesNotes
Sign in