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Day 344: NDA Maths

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

  1. Question 1

    Application of Derivatives. Asked once: NDA 1 2019

    88
    The minimum distance from the point (4,2)(4,2) to y2=8xy^2=8x is equal to

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  2. Question 2

    Differentiation. Asked once: NDA 2 2018

    92
    If y=sin⁡(ln⁡x)y=\sin(\ln x), then which one of the following is correct?

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  3. Question 3

    Functions. Asked once: NDA 2 2021

    73
    Let f(x)f(x) be a polynomial function such that f∘f(x)=x4f\circ f(x)=x^{4}. What is f′(1)f'(1) equal to?

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  4. Question 4

    Limits & Continuity. Asked once: NDA 2 2017

    62
    A function is defined as follows: f(x)={−xx2,x≠00,x=0f(x) = \begin{cases} -\dfrac{x}{\sqrt{x^2}}, & x \neq 0 \\ 0, & x = 0 \end{cases}. Which one of the following is correct in respect of the above function?

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  5. Question 5 (case study, 2 parts)

    Lines. Asked once: NDA 2 2021

    Direction: Consider the following for the next two (02) items that follow. The coordinates of three consecutive vertices of a parallelogram ABCD are A(1, 3), B(-1, 2) and C(3, 5).
    55
    What is the equation of the diagonal BDBD?

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    56
    What is the area of the parallelogram?

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