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  • Q10401
    NDA Maths strategyConcept: Cartesian product, domain and range

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    [Q21 · Sep · 2023]
  • Q10402
    NDA Maths strategyConcept: Cartesian product, domain and range

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    [Q22 · Sep · 2023]
  • Q10403
    NDA Maths strategyConcept: Is it a function? Well-defined and the vertical-line test

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    [Q23 · Sep · 2023]
  • Q10404
    NDA Maths strategyConcept: The laws of set algebra

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    [Q24 · Sep · 2023]
  • Q10405
    NDA Maths strategyConcept: Multiplicative and additive forms

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    [Q25 · Sep · 2023]
  • Q10406
    NDA Maths strategyConcept: Double- & Half-Angle Compositions

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    [Q26 · Sep · 2023]
  • Q10407
    NDA Maths strategyConcept: Complementary Identities

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    [Q27 · Sep · 2023]
  • Q10408
    NDA Maths strategyConcept: Double- & Half-Angle Compositions

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    [Q28 · Sep · 2023]
  • Q10409
    NDA Maths strategyConcept: Reducing an Equation to Standard Form

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    [Q29 · Sep · 2023]
  • Q10410
    Lever: Compound angle: sin/cos/tan(A ± B)Concept: sin(A ± B) and cos(A ± B)

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    [Q30 · Sep · 2023]
  • Set · 2 questions
    Consider the equation (1−x)4+(5−x)4=82(1-x)^4+(5-x)^4=82(1−x)4+(5−x)4=82.
    • Q10411
      Lever: Vieta — sum and product of rootsConcept: Reducing a Symmetric Equation by Substitution

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      [Q31 · Sep · 2023]
    • Q10412
      Lever: Vieta — sum and product of rootsConcept: Reducing a Symmetric Equation by Substitution

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      [Q32 · Sep · 2023]
  • Set · 3 questions
    Consider equation-I: z3+2z2+2z+1=0z^3+2z^2+2z+1=0z3+2z2+2z+1=0 and equation-II: z1985+z100+1=0z^{1985}+z^{100}+1=0z1985+z100+1=0.
    • Q10413
      Lever: Cube roots of unity (1 + ω + ω² = 0, ω³ = 1)Concept: Applying ω: powers, expressions, related roots

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      [Q33 · Sep · 2023]
    • Q10414
      Lever: Cube roots of unity (1 + ω + ω² = 0, ω³ = 1)Concept: Applying ω: powers, expressions, related roots

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      [Q34 · Sep · 2023]
    • Q10415
      Lever: Cube roots of unity (1 + ω + ω² = 0, ω³ = 1)Concept: Applying ω: powers, expressions, related roots

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      [Q35 · Sep · 2023]
  • Set · 2 questions
    A quadratic equation is given by (a+b)x2−(a+b+c)x+k=0(a+b)x^2-(a+b+c)x+k=0(a+b)x2−(a+b+c)x+k=0, where a,b,ca,b,ca,b,c are real.
    • Q10416
      NDA Maths strategyConcept: Parametric Quadratics — Factor, Don't Force

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      [Q36 · Sep · 2023]
    • Q10417
      NDA Maths strategyConcept: Parametric Quadratics — Factor, Don't Force

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      [Q37 · Sep · 2023]
  • Set · 3 questions
    Let (1+x)n=1+T1x+T2x2+⋯+Tnxn(1+x)^n = 1 + T_1 x + T_2 x^2 + \cdots + T_n x^n(1+x)n=1+T1​x+T2​x2+⋯+Tn​xn.
    • Q10418
      Lever: Pascal / binomial-coefficient identitiesConcept: Weighted Sums via Differentiation

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      [Q38 · Sep · 2023]
    • Q10419
      Lever: Pascal / binomial-coefficient identitiesConcept: Weighted Sums via Differentiation

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      [Q39 · Sep · 2023]
    • Q10420
      Lever: Pascal / binomial-coefficient identitiesConcept: Weighted Sums via Differentiation

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      [Q40 · Sep · 2023]
  • Set · 2 questions
    Let f(x)=x2−1f(x)=x^2-1f(x)=x2−1 and g∘f(x)=x−x+1g\circ f(x)=x-\sqrt{x+1}g∘f(x)=x−x+1​.
    • Q10421
      NDA Maths strategyConcept: Composition of functions

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      [Q41 · Sep · 2023]
    • Q10422
      NDA Maths strategyConcept: Composition of functions

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      [Q42 · Sep · 2023]
  • Set · 2 questions
    Let fff be defined on R∖{0}\mathbb{R}\setminus\{0\}R∖{0} and 2f(x)+f ⁣(1x)=x+32f(x)+f\!\left(\frac{1}{x}\right)=x+32f(x)+f(x1​)=x+3.
    • Q10423
      NDA Maths strategyConcept: Solving by substitution (x → 1/x, x → 1−x)

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      [Q43 · Sep · 2023]
    • Q10424
      NDA Maths strategyConcept: Standard derivatives to memorise

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      [Q44 · Sep · 2023]
  • Set · 1 question
    A function is defined by f(x)=(x+1)2/3(2x+4)6/3(6x+9)f(x)=(x+1)^{2/3}(2x+4)^{6/3}(6x+9)f(x)=(x+1)2/3(2x+4)6/3(6x+9).
    • Q10425
      NDA Maths strategyConcept: Critical points and the derivative tests

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      [Q45 · Sep · 2023]
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