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  • Q12526
    NDA Maths strategyConcept: Standard Form, Foci & Eccentricity

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    [Q60 · Apr · 2025]
  • Q12527
    NDA Maths strategyConcept: Direction-angle identities

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    [Q61 · Apr · 2025]
  • Q12528
    NDA Maths strategyConcept: Collinearity and shape tests

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    [Q62 · Apr · 2025]
  • Q12529
    NDA Maths strategyConcept: Collinearity and shape tests

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    [Q63 · Apr · 2025]
  • Q12530
    NDA Maths strategyConcept: Reading direction ratios off a line

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    [Q64 · Apr · 2025]
  • Q12531
    NDA Maths strategyConcept: Equation of a plane and its normal

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    [Q65 · Apr · 2025]
  • Q12532
    NDA Maths strategyConcept: Dot product — components form and work done

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    [Q66 · Apr · 2025]
  • Q12533
    NDA Maths strategyConcept: Vector triple product (BAC-CAB rule)

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    [Q67 · Apr · 2025]
  • Q12534
    NDA Maths strategyConcept: Collinearity of three points (and vector relations in regular figures)

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    [Q68 · Apr · 2025]
  • Q12535
    NDA Maths strategyConcept: Collinearity of three points (and vector relations in regular figures)

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    [Q69 · Apr · 2025]
  • Q12536
    NDA Maths strategyConcept: Unit vectors, orthogonal triples, and decomposition

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    [Q70 · Apr · 2025]
  • Set · 2 questions
    Let x=sec⁡θ−cos⁡θx = \sec\theta - \cos\thetax=secθ−cosθ and y=sec⁡4θ−cos⁡4θy = \sec^4\theta - \cos^4\thetay=sec4θ−cos4θ.
    • Q12537
      NDA Maths strategyConcept: Parametric differentiation

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      [Q71 · Apr · 2025]
    • Q12538
      NDA Maths strategyConcept: Parametric differentiation

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      [Q72 · Apr · 2025]
  • Set · 2 questions
    Let ABC be a triangle right-angled at B and AB + AC = 3 units.
    • Q12539
      NDA Maths strategyConcept: Geometric maxima (area, volume, inscribed figures)

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      [Q73 · Apr · 2025]
    • Q12540
      NDA Maths strategyConcept: Geometric maxima (area, volume, inscribed figures)

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      [Q74 · Apr · 2025]
  • Set · 2 questions
    Let (x+y)p+q=xpyq(x+y)^{p+q} = x^p y^q(x+y)p+q=xpyq, where p,qp, qp,q are positive integers.
    • Q12541
      NDA Maths strategyConcept: Logarithmic differentiation of implicit power relations

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      [Q75 · Apr · 2025]
    • Q12542
      NDA Maths strategyConcept: Logarithmic differentiation of implicit power relations

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      [Q76 · Apr · 2025]
  • Set · 2 questions
    The slope of the tangent to the curve y=f(x)y = f(x)y=f(x) at (x,f(x))(x, f(x))(x,f(x)) is 4 for every real number xxx and the curve passes through the origin.
    • Q12543
      NDA Maths strategyConcept: Implicit differentiation

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      [Q77 · Apr · 2025]
    • Q12544
      NDA Maths strategyConcept: Area between curves

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      [Q78 · Apr · 2025]
  • Set · 2 questions
    Let f(x)={x3,x2<1x2,x2≥1f(x) = \begin{cases} x^3, & x^2 < 1 \\ x^2, & x^2 \geq 1 \end{cases}f(x)={x3,x2,​x2<1x2≥1​
    • Q12545
      Lever: Modulus / absolute value behaviourConcept: Continuity vs differentiability

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      [Q79 · Apr · 2025]
    • Q12546
      Lever: Differentiability at a pointConcept: Continuity vs differentiability

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      [Q80 · Apr · 2025]
  • Set · 2 questions
    Let the function y=(1−cos⁡x)−1y = (1 - \cos x)^{-1}y=(1−cosx)−1, where x≠2nπx \neq 2n\pix=2nπ and nnn is an integer.
    • Q12547
      NDA Maths strategyConcept: Finding the range

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      [Q81 · Apr · 2025]
    • Q12548
      NDA Maths strategyConcept: Trigonometric Substitutions and Identity Reductions

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      [Q82 · Apr · 2025]
  • Set · 2 questions
    Let the function f(x)=sin⁡[x]f(x) = \sin[x]f(x)=sin[x], where [⋅][\cdot][⋅] is the greatest integer function and g(x)=∣x∣g(x) = |x|g(x)=∣x∣.
    • Q12549
      Lever: Modulus / absolute value behaviourConcept: Left-hand and right-hand limits

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      [Q83 · Apr · 2025]
    • Q12550
      Lever: Modulus / absolute value behaviourConcept: Left-hand and right-hand limits

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      [Q84 · Apr · 2025]
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