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  • Set · 1 question
    For the following two (02) items: Suppose SSS is the sphere with the smallest radius that passes through the points A(1,0,0)A(1,0,0)A(1,0,0), B(0,1,0)B(0,1,0)B(0,1,0) and C(0,0,1)C(0,0,1)C(0,0,1).
    • Q11451
      NDA Maths strategyConcept: General equation, centre, and radius

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      [Q54 · Sep · 2025]
  • Set · 2 questions
    For the following two (02) items: Let A(1,−1,0)A(1,-1,0)A(1,−1,0), B(−2,1,8)B(-2,1,8)B(−2,1,8) and C(−1,2,7)C(-1,2,7)C(−1,2,7) are three consecutive vertices of a parallelogram ABCDABCDABCD.
    • Q11452
      NDA Maths strategyConcept: Angles and vertices from position vectors

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      [Q55 · Sep · 2025]
    • Q11453
      NDA Maths strategyConcept: Angles and vertices from position vectors

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      [Q56 · Sep · 2025]
  • Q11454
    NDA Maths strategyConcept: Slope and the forms of a line

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    [Q57 · Sep · 2025]
  • Q11455
    NDA Maths strategyConcept: Locus from a condition

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    [Q58 · Sep · 2025]
  • Q11456
    NDA Maths strategyConcept: Standard Forms & Their Elements

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    [Q59 · Sep · 2025]
  • Q11457
    NDA Maths strategyConcept: Intercept form and intercepts

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    [Q60 · Sep · 2025]
  • Q11458
    NDA Maths strategyConcept: Slope and the forms of a line

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    [Q61 · Sep · 2025]
  • Q11459
    NDA Maths strategyConcept: Parallelograms, squares and diagonals

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    [Q62 · Sep · 2025]
  • Q11460
    NDA Maths strategyConcept: Angle between two lines

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    [Q63 · Sep · 2025]
  • Q11461
    NDA Maths strategyConcept: Points Where a Circle Touches the Axes

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    [Q64 · Sep · 2025]
  • Q11462
    NDA Maths strategyConcept: Standard Form, Foci & Eccentricity

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    [Q65 · Sep · 2025]
  • Q11463
    NDA Maths strategyConcept: Cross-product magnitude, area, and the Lagrange identity

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    [Q66 · Sep · 2025]
  • Q11464
    NDA Maths strategyConcept: Unit vector perpendicular to two given vectors

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    [Q67 · Sep · 2025]
  • Q11465
    NDA Maths strategyConcept: Cross-product magnitude, area, and the Lagrange identity

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    [Q68 · Sep · 2025]
  • Q11466
    NDA Maths strategyConcept: Angles and vertices from position vectors

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    [Q69 · Sep · 2025]
  • Q11467
    NDA Maths strategyConcept: Moment of a force (torque)

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    [Q70 · Sep · 2025]
  • Set · 2 questions
    For the following two (02) items: Let f(x)={1−cos⁡2xx2,x<09,x=0x(16+x)−4,x>0f(x)=\begin{cases}\dfrac{1-\cos2x}{x^2}, & x<0\\ 9, & x=0\\ \dfrac{\sqrt{x}}{\sqrt{(16+\sqrt{x})}-4}, & x>0\end{cases}f(x)=⎩⎨⎧​x21−cos2x​,9,(16+x​)​−4x​​,​x<0x=0x>0​
    • Q11468
      Lever: Modulus / absolute value behaviourConcept: Left-hand and right-hand limits

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      [Q71 · Sep · 2025]
    • Q11469
      Lever: Modulus / absolute value behaviourConcept: Left-hand and right-hand limits

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      [Q72 · Sep · 2025]
  • Set · 3 questions
    For the following three (03) items: Consider the function f(x)=x∣x∣f(x)=x|x|f(x)=x∣x∣.
    • Q11470
      Lever: Modulus / absolute value behaviourConcept: Left-hand and right-hand limits

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      [Q73 · Sep · 2025]
    • Q11471
      NDA Maths strategyConcept: Below the Axis, Loops & the Factor of 2

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      [Q74 · Sep · 2025]
    • Q11472
      Lever: Differentiability at a pointConcept: Modulus corners — and the x|x| trap

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      [Q75 · Sep · 2025]
  • Set · 2 questions
    For the following two (02) items: Consider the function f(x)=x1−xf(x)=\dfrac{x}{1-x}f(x)=1−xx​ (x>0, x≠1)(x>0,\,x\neq1)(x>0,x=1).
    • Q11473
      NDA Maths strategyConcept: Evaluating and combining functions

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      [Q76 · Sep · 2025]
    • Q11474
      NDA Maths strategyConcept: Evaluating and combining functions

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      [Q77 · Sep · 2025]
  • Set · 1 question
    For the following three (03) items: Let y=f(x)=xsin⁡−1x1−x2+ln⁡1−x2y=f(x)=\dfrac{x\sin^{-1}x}{\sqrt{1-x^2}}+\ln\sqrt{1-x^2}y=f(x)=1−x2​xsin−1x​+ln1−x2​.
    • Q11475
      NDA Maths strategyConcept: Parametric differentiation

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      [Q78 · Sep · 2025]
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