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  • Set · 1 question
    Let p=sin⁡α−sin⁡(α−90°)p = \sin\alpha - \sin(\alpha - 90°)p=sinα−sin(α−90°).
    • Q12501
      NDA Maths strategyConcept: Range of a·sin x + b·cos x

      Tap an option to check your answer.

      [Q35 · Apr · 2025]
  • Set · 3 questions
    The sides of a triangle ABC are AB = 3 cm, BC = 5 cm and CA = 7 cm.
    • Q12502
      Lever: Sine rule + Cosine ruleConcept: The Cosine Rule

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      [Q36 · Apr · 2025]
    • Q12503
      Lever: Sine rule + Cosine ruleConcept: The Cosine Rule

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      [Q37 · Apr · 2025]
    • Q12504
      Lever: Sine rule + Cosine ruleConcept: The Cosine Rule

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      [Q38 · Apr · 2025]
  • Set · 2 questions
    The top (M) of a tower is observed from three points P, Q and R lying in a horizontal straight line which passes directly along the foot (N) of the tower. The angles of elevations of M from P, Q and R are 30°, 45° and 60° respectively. Let PQ = a and QR = b.
    • Q12505
      Lever: Sine rule + Cosine ruleConcept: Three Collinear Observation Points

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      [Q39 · Apr · 2025]
    • Q12506
      Lever: Sine rule + Cosine ruleConcept: Three Collinear Observation Points

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      [Q40 · Apr · 2025]
  • Set · 3 questions
    Let p=tan⁡2α−tan⁡αp = \tan 2\alpha - \tan\alphap=tan2α−tanα and q=cot⁡α−cot⁡2αq = \cot\alpha - \cot 2\alphaq=cotα−cot2α.
    • Q12507
      Lever: Double / half-angle formulasConcept: Double-angle formulas

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      [Q41 · Apr · 2025]
    • Q12508
      Lever: Double / half-angle formulasConcept: Double-angle formulas

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      [Q42 · Apr · 2025]
    • Q12509
      Lever: Double / half-angle formulasConcept: Double-angle formulas

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      [Q43 · Apr · 2025]
  • Set · 2 questions
    Let 2sin⁡α+cos⁡α=22\sin\alpha + \cos\alpha = 22sinα+cosα=2, where 0<α<90°0 < \alpha < 90°0<α<90°.
    • Q12510
      NDA Maths strategyConcept: Reducing an Equation to Standard Form

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      [Q44 · Apr · 2025]
    • Q12511
      Lever: Double / half-angle formulasConcept: Double-angle formulas

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      [Q45 · Apr · 2025]
  • Set · 2 questions
    In a triangle ABC, two sides BC and CA are in the ratio 2:1 and their opposite corresponding angles are in the ratio 3:1.
    • Q12512
      Lever: Sine rule + Cosine ruleConcept: The Sine Rule

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      [Q46 · Apr · 2025]
    • Q12513
      Lever: AP three-term: 2b = a + cConcept: The Sine Rule

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      [Q47 · Apr · 2025]
  • Q12514
    NDA Maths strategyConcept: Geometric Applications

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    [Q48 · Apr · 2025]
  • Q12515
    NDA Maths strategyConcept: Complementary Identities

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    [Q49 · Apr · 2025]
  • Q12516
    NDA Maths strategyConcept: Sum & Difference Formulas

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    [Q50 · Apr · 2025]
  • Q12517
    NDA Maths strategyConcept: Slope and the forms of a line

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    [Q51 · Apr · 2025]
  • Q12518
    NDA Maths strategyConcept: Constructing a triangle: vertices, medians, altitudes

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    [Q52 · Apr · 2025]
  • Q12519
    NDA Maths strategyConcept: Centroid, incentre, circumcentre

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    [Q53 · Apr · 2025]
  • Q12520
    NDA Maths strategyConcept: Section formula and ratios

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    [Q54 · Apr · 2025]
  • Q12521
    NDA Maths strategyConcept: Image of a point and reflections

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    [Q55 · Apr · 2025]
  • Q12522
    NDA Maths strategyConcept: What a Circle Equation Is

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    [Q56 · Apr · 2025]
  • Q12523
    NDA Maths strategyConcept: A Square Inscribed in a Circle

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    [Q57 · Apr · 2025]
  • Q12524
    NDA Maths strategyConcept: Tangents & Chords of a Parabola

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    [Q58 · Apr · 2025]
  • Q12525
    NDA Maths strategyConcept: Standard Form, Foci & Eccentricity

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    [Q59 · Apr · 2025]
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