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  • 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.
    • Q10451
      NDA Maths strategyConcept: The arithmetic mean and symmetric terms

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      [Q71 · Sep · 2023]
    • Q10452
      NDA Maths strategyConcept: The arithmetic mean and symmetric terms

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      [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​.
    • Q10453
      NDA Maths strategyConcept: Product-to-sum formulas

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      [Q73 · Sep · 2023]
    • Q10454
      NDA Maths strategyConcept: Product-to-sum formulas

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      [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​.
    • Q10455
      Lever: Double / half-angle formulasConcept: Triple-angle formulas

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      [Q75 · Sep · 2023]
    • Q10456
      Lever: Double / half-angle formulasConcept: Triple-angle formulas

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      [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​.
    • Q10457
      Lever: Double / half-angle formulasConcept: Triple-angle formulas

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      [Q77 · Sep · 2023]
    • Q10458
      Lever: Double / half-angle formulasConcept: Triple-angle formulas

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      [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.
    • Q10459
      Lever: Sine rule + Cosine ruleConcept: Angle Ratios ↔ Side Ratios

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      [Q79 · Sep · 2023]
    • Q10460
      Lever: Sine rule + Cosine ruleConcept: Angle Ratios ↔ Side Ratios

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      [Q80 · Sep · 2023]
  • Q10461
    NDA Maths strategyConcept: The Latus Rectum

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    [Q81 · Sep · 2023]
  • Q10462
    NDA Maths strategyConcept: Parallel and perpendicular conditions

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    [Q82 · Sep · 2023]
  • Q10463
    NDA Maths strategyConcept: Parallel and perpendicular conditions

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    [Q83 · Sep · 2023]
  • Q10464
    NDA Maths strategyConcept: Perpendicular From the Centre Bisects a Chord

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    [Q84 · Sep · 2023]
  • Q10465
    NDA Maths strategyConcept: Identifying a General Second-Degree Equation

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    [Q85 · Sep · 2023]
  • Q10466
    NDA Maths strategyConcept: Parametric Form & θ-Independent Properties

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    [Q86 · Sep · 2023]
  • Q10467
    NDA Maths strategyConcept: Circles That Touch the Axes

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    [Q87 · Sep · 2023]
  • Q10468
    NDA Maths strategyConcept: Family of lines and concurrency

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    [Q88 · Sep · 2023]
  • Q10469
    NDA Maths strategyConcept: Section formula and ratios

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    [Q89 · Sep · 2023]
  • Q10470
    NDA Maths strategyConcept: Intercept form and intercepts

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    [Q90 · Sep · 2023]
  • Q10471
    NDA Maths strategyConcept: Scalar projection of one vector on another

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    [Q91 · Sep · 2023]
  • Q10472
    NDA Maths strategyConcept: Magnitude of a vector and distance between two points

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    [Q92 · Sep · 2023]
  • Q10473
    NDA Maths strategyConcept: Angle between two vectors via the dot-product formula

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    [Q93 · Sep · 2023]
  • Q10474
    NDA Maths strategyConcept: Collinearity of three points (and vector relations in regular figures)

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    [Q94 · Sep · 2023]
  • Q10475
    NDA Maths strategyConcept: Angle between two vectors via the dot-product formula

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    [Q95 · Sep · 2023]
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