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Day 349: NDA Maths

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

  1. Question 1

    Application of Derivatives. Asked once: NDA 2 2018

    93
    A flower-bed in the form of a sector has been fenced by a wire of 40 m length. If the flower-bed has the greatest possible area, then what is the radius of the sector?

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  2. Question 2

    Differentiation. Asked once: NDA 2 2018

    91
    If u=eaxsin⁡bxu=e^{ax}\sin bx and v=eaxcos⁡bxv=e^{ax}\cos bx, then what is ududx+vdvdxu\frac{du}{dx}+v\frac{dv}{dx} equal to?

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  3. Question 3

    Functions. Asked once: NDA 1 2021

    95
    What is the domain of the function f(x)=3xf(x)=3^x?

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  4. Question 4

    Limits & Continuity. Asked once: NDA 2 2017

    75
    If lim⁡x→π2sin⁡xx=l\displaystyle\lim_{x \to \frac{\pi}{2}} \frac{\sin x}{x} = l and lim⁡x→∞cos⁡xx=m\displaystyle\lim_{x \to \infty} \frac{\cos x}{x} = m, then which one of the following is correct?

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  5. Question 5

    Lines. Asked once: NDA 1 2020

    57
    Let ABC be a triangle. If D(2,5)D(2,5) and E(5,9)E(5,9) are the mid-points of the sides AB and AC respectively, then what is the length of the side BC?

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