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  • Set · 2 questions
    Let L:x+y+z+4=0=2x−y−z+8L:x+y+z+4=0=2x-y-z+8L:x+y+z+4=0=2x−y−z+8 be a line and P:x+2y+3z+1=0P: x+2y+3z+1=0P:x+2y+3z+1=0 be a plane.
    • Q11976
      NDA Maths strategyConcept: Equation of a line — symmetric and two-point forms

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      [Q69 · Sep · 2024]
    • Q11977
      NDA Maths strategyConcept: Intersection of a line and a plane

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      [Q70 · Sep · 2024]
  • Q11978
    Lever: Modulus / absolute value behaviourConcept: The fractional part {x} = x − [x]

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    [Q71 · Sep · 2024]
  • Q11979
    NDA Maths strategyConcept: When do two linear functions commute?

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    [Q72 · Sep · 2024]
  • Q11980
    NDA Maths strategyConcept: Finding the range

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    [Q73 · Sep · 2024]
  • Q11981
    Lever: Modulus / absolute value behaviourConcept: Left-hand and right-hand limits

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    [Q74 · Sep · 2024]
  • Q11982
    NDA Maths strategyConcept: Critical points and the derivative tests

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    [Q75 · Sep · 2024]
  • Q11983
    NDA Maths strategyConcept: Undoing an argument shift

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    [Q76 · Sep · 2024]
  • Q11984
    Lever: Modulus / absolute value behaviourConcept: Floor equations and sums

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    [Q77 · Sep · 2024]
  • Q11985
    NDA Maths strategyConcept: Multiplicative and additive forms

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    [Q78 · Sep · 2024]
  • Q11986
    NDA Maths strategyConcept: 0/0 by factoring, cancelling, and rationalising

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    [Q79 · Sep · 2024]
  • Q11987
    NDA Maths strategyConcept: Multiplicative and additive forms

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    [Q80 · Sep · 2024]
  • Set · 2 questions
    Let f∘g(x)=cos⁡2xf\circ g(x)=\cos^2\sqrt{x}f∘g(x)=cos2x​ and g∘f(x)=∣cos⁡x∣g\circ f(x)=|\cos x|g∘f(x)=∣cosx∣.
    • Q11988
      NDA Maths strategyConcept: Composition of functions

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      [Q81 · Sep · 2024]
    • Q11989
      NDA Maths strategyConcept: Composition of functions

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      [Q82 · Sep · 2024]
  • Set · 1 question
    Let f(x)=[x]2−[x2]f(x)=[x]^2-[x^2]f(x)=[x]2−[x2], where [⋅][\cdot][⋅] denotes the greatest-integer function.
    • Q11990
      Lever: Modulus / absolute value behaviourConcept: Definition, graph, and behaviour at integers

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      [Q83 · Sep · 2024]
  • Q11991
    Lever: Modulus / absolute value behaviourConcept: Types of discontinuity (removable, jump, oscillatory)

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    [Q84 · Sep · 2024]
  • Set · 2 questions
    Let f(x)=cos⁡2x+xf(x)=\cos 2x+xf(x)=cos2x+x on [−π2,π2]\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right][−2π​,2π​].
    • Q11992
      NDA Maths strategyConcept: Greatest and least value on an interval

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      [Q85 · Sep · 2024]
    • Q11993
      NDA Maths strategyConcept: Greatest and least value on an interval

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      [Q86 · Sep · 2024]
  • Set · 2 questions
    The area bounded by the parabola y2=kxy^2=kxy2=kx and the line x=kx=kx=k, where k>0k>0k>0, is 43\dfrac{4}{3}34​ square units.
    • Q11994
      NDA Maths strategyConcept: Area of a Parabola Cut by Its Latus Rectum

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      [Q87 · Sep · 2024]
    • Q11995
      NDA Maths strategyConcept: Area of a Parabola Cut by Its Latus Rectum

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      [Q88 · Sep · 2024]
  • Set · 2 questions
    Let y dx+(x−y3) dy=0y\,dx+(x-y^3)\,dy=0ydx+(x−y3)dy=0 be a differential equation.
    • Q11996
      NDA Maths strategyConcept: Order and degree of a differential equation

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      [Q89 · Sep · 2024]
    • Q11997
      NDA Maths strategyConcept: Order and degree of a differential equation

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      [Q90 · Sep · 2024]
  • Set · 2 questions
    Let f(x)=∣x2−x−2∣f(x)=|x^2-x-2|f(x)=∣x2−x−2∣.
    • Q11998
      Lever: Modulus / absolute value behaviourConcept: Integrating absolute-value and piecewise functions

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      [Q91 · Sep · 2024]
    • Q11999
      Lever: Modulus / absolute value behaviourConcept: Integrating absolute-value and piecewise functions

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      [Q92 · Sep · 2024]
  • Q12000
    NDA Maths strategyConcept: Even and odd functions

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    [Q93 · Sep · 2024]
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