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  • Set · 1 question
    Consider the following for the next two (02) items that follow: A quadrilateral is formed by the lines x=0x=0x=0, y=0y=0y=0, x+y=1x+y=1x+y=1 and 6x+y=36x+y=36x+y=3.
    • Q3026
      NDA Maths strategy

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      [Q56 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: P(x,y)P(x,y)P(x,y) is any point on the ellipse x2+4y2=1x^{2}+4y^{2}=1x2+4y2=1. Let EEE, FFF be the foci of the ellipse.
    • Q3027
      NDA Maths strategy

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      [Q57 · Apr · 2023]
    • Q3028
      NDA Maths strategy

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      [Q58 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: The line y=xy=xy=x partitions the circle (x−a)2+y2=a2(x-a)^{2}+y^{2}=a^{2}(x−a)2+y2=a2 in two segments.
    • Q3029
      NDA Maths strategy

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      [Q59 · Apr · 2023]
    • Q3030
      NDA Maths strategy

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      [Q60 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: Let A(1,−1,2)A(1,-1,2)A(1,−1,2) and B(2,1,−1)B(2,1,-1)B(2,1,−1) be the end points of the diameter of the sphere x2+y2+z2+2ux+2vy+2wz−1=0x^{2}+y^{2}+z^{2}+2ux+2vy+2wz-1=0x2+y2+z2+2ux+2vy+2wz−1=0.
    • Q3031
      NDA Maths strategyConcept: General equation, centre, and radius

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      [Q61 · Apr · 2023]
    • Q3032
      NDA Maths strategyConcept: General equation, centre, and radius

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      [Q62 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: Consider two lines whose direction ratios are (2,−1,2)(2,-1,2)(2,−1,2) and (k,3,5)(k,3,5)(k,3,5). They are inclined at an angle π4\dfrac{\pi}{4}4π​.
    • Q3033
      NDA Maths strategyConcept: Perpendicular and parallel conditions

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      [Q63 · Apr · 2023]
    • Q3034
      NDA Maths strategyConcept: Perpendicular and parallel conditions

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      [Q64 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: Let a⃗=3i^+3j^+3k^\vec{a}=3\hat{i}+3\hat{j}+3\hat{k}a=3i^+3j^​+3k^ and c⃗=j^−k^\vec{c}=\hat{j}-\hat{k}c=j^​−k^. Let b⃗\vec{b}b be such that a⃗⋅b⃗=27\vec{a}\cdot\vec{b}=27a⋅b=27 and a⃗×b⃗=9c⃗\vec{a}\times\vec{b}=9\vec{c}a×b=9c.
    • Q3035
      NDA Maths strategyConcept: Vector triple product (BAC-CAB rule)

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      [Q65 · Apr · 2023]
    • Q3036
      NDA Maths strategyConcept: Vector triple product (BAC-CAB rule)

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      [Q66 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: Let a vector a⃗=4i^−8j^+k^\vec{a}=4\hat{i}-8\hat{j}+\hat{k}a=4i^−8j^​+k^ make angles α\alphaα, β\betaβ, γ\gammaγ with the positive directions of xxx, yyy, zzz axes respectively.
    • Q3037
      NDA Maths strategyConcept: Direction Cosines

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      [Q67 · Apr · 2023]
    • Q3038
      NDA Maths strategyConcept: Direction Cosines

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      [Q68 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: The position vectors of two points AAA and BBB are i^−j^\hat{i}-\hat{j}i^−j^​ and j^+k^\hat{j}+\hat{k}j^​+k^ respectively.
    • Q3039
      NDA Maths strategyConcept: Collinearity and shape tests

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      [Q69 · Apr · 2023]
    • Q3040
      NDA Maths strategyConcept: Collinearity and shape tests

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      [Q70 · Apr · 2023]
  • Set · 3 questions
    Consider the following for the next three (03) items that follow: Let f(x)=Pex+Qe2x+Re3xf(x)=Pe^{x}+Qe^{2x}+Re^{3x}f(x)=Pex+Qe2x+Re3x, where PPP, QQQ, RRR are real numbers. Further f(0)=6f(0)=6f(0)=6, f′(ln⁡3)=282f'(\ln3)=282f′(ln3)=282 and ∫0ln⁡2f(x) dx=11\int_{0}^{\ln2}f(x)\,dx=11∫0ln2​f(x)dx=11.
    • Q3041
      NDA Maths strategy

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      [Q71 · Apr · 2023]
    • Q3042
      NDA Maths strategy

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      [Q72 · Apr · 2023]
    • Q3043
      NDA Maths strategy

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      [Q73 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: Suppose EEE is the differential equation representing family of curves y2=2cx+2ccy^{2}=2cx+2c\sqrt{c}y2=2cx+2cc​ where ccc is a positive parameter.
    • Q3044
      NDA Maths strategy

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      [Q74 · Apr · 2023]
    • Q3045
      NDA Maths strategy

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      [Q75 · Apr · 2023]
  • Set · 3 questions
    Consider the following for the next three (03) items that follow: Let KaTeX parse error: Undefined control sequence: \TAN at position 57: … x & x^{2} & 2x\̲T̲A̲N̲_PLACEHOLDER x ….
    • Q3046
      NDA Maths strategy

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      [Q76 · Apr · 2023]
    • Q3047
      NDA Maths strategy

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      [Q77 · Apr · 2023]
    • Q3048
      NDA Maths strategy

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      [Q78 · Apr · 2023]
  • Set · 2 questions
    Consider the following for the next two (02) items that follow: Let f(x)=sin⁡[π2]x+cos⁡[−π2]xf(x)=\sin[\pi^{2}]x+\cos[-\pi^{2}]xf(x)=sin[π2]x+cos[−π2]x where [⋅][\cdot][⋅] is a greatest integer function.
    • Q3049
      Lever: Modulus / absolute value behaviour

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      [Q79 · Apr · 2023]
    • Q3050
      Lever: Modulus / absolute value behaviour

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      [Q80 · Apr · 2023]
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