PYQ Vault

Day 98: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Differentiation. Asked once: NDA 2 2021 (same type asked 5 times)

    94
    What is the derivative of eexe^{e^{x}} with respect to exe^{x}?

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  2. Question 2

    3D Geometry. Asked once: NDA 1 2025 (same type asked 4 times)

    61
    If a line in 3 dimensions makes angles α,β\alpha, \beta and γ\gamma with the positive directions of the coordinate axes, then what is cos⁡(α+β)cos⁡(α−β)\cos(\alpha+\beta)\cos(\alpha-\beta) equal to?

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  3. Question 3

    Complex Numbers. Asked once: NDA 2 2023 (same type asked 4 times)

    1
    If zz‾=∣z+z‾∣z\overline{z} = |z + \overline{z}|, where z=x+iy, i=−1z = x + iy,\ i = \sqrt{-1}, then the locus of zz is a pair of:

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  4. Question 4

    Differential Equations. Asked once: NDA 2 2022 (same type asked 4 times)

    99
    What is the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis?

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  5. Question 5 (case study, 2 parts)

    Differential Equations. Asked once: NDA 1 2023 (same type asked 4 times)

    Consider the following for the next two (02) items that follow: Suppose EE is the differential equation representing family of curves y2=2cx+2ccy^{2}=2cx+2c\sqrt{c} where cc is a positive parameter.
    74
    What is the order of the differential equation?

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    75
    What is the degree of the differential equation?

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