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Day 295: NDA Maths

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

  1. Question 1

    3D Geometry. Asked once: NDA 2 2019

    57
    A point on the line x−11=y−32=z+27\dfrac{x-1}{1} = \dfrac{y-3}{2} = \dfrac{z+2}{7} has coordinates

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  2. Question 2

    Application of Derivatives. Asked once: NDA 2 2022

    92
    Where does the function f(x)=∑j=17(x−j)2f(x) = \sum_{j=1}^{7}(x-j)^2 attain its minimum value?

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  3. Question 3

    Binomial Theorem. Asked once: NDA 2 2018

    24
    Let the coefficient of the middle term of the binomial expansion of (1+x)2n(1+x)^{2n} be α\alpha and those of two middle terms of the binomial expansion of (1+x)2n−1(1+x)^{2n-1} be β\beta and γ\gamma. Which one of the following relations is correct?

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  4. Question 4

    Circles. Asked once: NDA 2 2018

    62
    If y-axis touches the circle x2+y2+gx+fy+c4=0x^2+y^2+gx+fy+\frac{c}{4}=0, then the normal at this point intersects the circle at the point

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  5. Question 5

    Complex Numbers. Asked once: NDA 1 2024

    14
    If ω≠1\omega\neq1 is a cube root of unity, then what are the solutions of (z−100)3+1000=0(z-100)^3+1000=0?

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