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  • Q4176
    NDA Maths strategyConcept: Cross-product magnitude, area, and the Lagrange identity

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    [Q66 · Sep · 2025]
  • Q4177
    NDA Maths strategyConcept: Unit vector perpendicular to two given vectors

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    [Q67 · Sep · 2025]
  • Q4178
    NDA Maths strategyConcept: Cross-product magnitude, area, and the Lagrange identity

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    [Q68 · Sep · 2025]
  • Q4179
    NDA Maths strategyConcept: Angles and vertices from position vectors

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    [Q69 · Sep · 2025]
  • Q4180
    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​
    • Q4181
      Lever: Modulus / absolute value behaviour

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      [Q71 · Sep · 2025]
    • Q4182
      Lever: Modulus / absolute value behaviour

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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∣.
    • Q4183
      Lever: Modulus / absolute value behaviour

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      [Q73 · Sep · 2025]
    • Q4184
      NDA Maths strategy

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      [Q74 · Sep · 2025]
    • Q4185
      Lever: Differentiability at a point

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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).
    • Q4186
      NDA Maths strategy

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      [Q76 · Sep · 2025]
    • Q4187
      NDA Maths strategy

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      [Q77 · Sep · 2025]
  • Set · 3 questions
    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​.
    • Q4188
      NDA Maths strategy

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      [Q78 · Sep · 2025]
    • Q4189
      NDA Maths strategy

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      [Q79 · Sep · 2025]
    • Q4190
      NDA Maths strategy

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      [Q80 · Sep · 2025]
  • Set · 2 questions
    For the following two (02) items: Consider the function f(x)=1−(x−1)23f(x)=1-\sqrt[3]{(x-1)^2}f(x)=1−3(x−1)2​.
    • Q4191
      NDA Maths strategy

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      [Q81 · Sep · 2025]
    • Q4192
      NDA Maths strategy

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      [Q82 · Sep · 2025]
  • Set · 2 questions
    For the following two (02) items: Consider the function f(x)={4(5x),x<08k+x,x≥0f(x)=\begin{cases}4(5^x), & x<0\\ 8k+x, & x\geq0\end{cases}f(x)={4(5x),8k+x,​x<0x≥0​.
    • Q4193
      Lever: Modulus / absolute value behaviour

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      [Q83 · Sep · 2025]
    • Q4194
      Lever: Modulus / absolute value behaviour

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      [Q84 · Sep · 2025]
  • Set · 2 questions
    For the following two (02) items: Let u=∫excos⁡x dxu=\int e^x\cos x\,dxu=∫excosxdx and v=∫exsin⁡x dxv=\int e^x\sin x\,dxv=∫exsinxdx.
    • Q4195
      NDA Maths strategyConcept: Cyclic and Paired Integrals of e-to-the-x Times Trig

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      [Q85 · Sep · 2025]
    • Q4196
      NDA Maths strategyConcept: Cyclic and Paired Integrals of e-to-the-x Times Trig

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      [Q86 · Sep · 2025]
  • Set · 2 questions
    For the following two (02) items: Let the function f(x)=∣x−3∣+∣x−4∣f(x)=|x-3|+|x-4|f(x)=∣x−3∣+∣x−4∣ be defined on the interval [0,5][0,5][0,5].
    • Q4197
      Lever: Differentiability at a point

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      [Q87 · Sep · 2025]
    • Q4198
      Lever: Differentiability at a point

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      [Q88 · Sep · 2025]
  • Set · 2 questions
    For the following two (02) items: Consider the function f(x)=10x−10−x10x+10−xf(x)=\dfrac{10^x-10^{-x}}{10^x+10^{-x}}f(x)=10x+10−x10x−10−x​.
    • Q4199
      NDA Maths strategy

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      [Q89 · Sep · 2025]
    • Q4200
      NDA Maths strategy

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      [Q90 · Sep · 2025]
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