PYQ Vault

Day 274: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    3D Geometry. Asked once: NDA 2 2021

    64
    The number of spheres of radius rr touching the coordinate axes is

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  2. Question 2

    Application of Derivatives. Asked once: NDA 1 2024

    92
    A differentiable function f(x)f(x) has a local maximum at x=0x=0. Let y=2f(x)+ax−by=2f(x)+ax-b. The function yy has a relative maxima at x=0x=0 for

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  3. Question 3

    Binomial Theorem. Asked once: NDA 1 2022

    14
    What is the value of C(51,21)−C(51,22)+C(51,23)−C(51,24)+C(51,25)−C(51,26)+C(51,27)−C(51,28)+C(51,29)−C(51,30)C(51,21)-C(51,22)+C(51,23)-C(51,24)+C(51,25)-C(51,26)+C(51,27)-C(51,28)+C(51,29)-C(51,30)?

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  4. Question 4

    Circles. Asked once: NDA 2 2022

    59
    The centre of the circle passing through origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the line

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  5. Question 5

    Complex Numbers. Asked once: NDA 1 2025

    14
    If x2−x+1=0x^2 - x + 1 = 0, then what is (x−1x)2+(x−1x)4+(x−1x)8\left(x - \frac{1}{x}\right)^2 + \left(x - \frac{1}{x}\right)^4 + \left(x - \frac{1}{x}\right)^8 equal to?

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