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Day 20: NDA Maths

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

  1. Question 1

    Functions. This type asked 4 times: NDA 1 2017, NDA 2 2017, NDA 2 2019, NDA 1 2022. This one: NDA 1 2022

    68
    If f(x)=4x+3f(x)=4x+3, then what is f∘f∘f(−1)f\circ f\circ f(-1) equal to?

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  2. Question 2

    Lines. This type asked 4 times: NDA 2 2017, NDA 1 2018, NDA 2 2018, NDA 1 2022. This one: NDA 1 2022

    87
    A straight line passes through the point of intersection of x+2y+2=0x+2y+2=0 and 2x−3y−3=02x-3y-3=0. It cuts equal intercepts in the fourth quadrant. What is the sum of the absolute values of the intercepts?

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  3. Question 3

    Differentiation. This type asked 4 times: NDA 2 2017, NDA 2 2018, NDA 1 2019, NDA 2 2021. This one: NDA 2 2021

    80
    What is the slope of the tangent of y=cos⁡−1(cos⁡x)y=\cos^{-1}(\cos x) at x=−π4x=-\frac{\pi}{4}?

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  4. Question 4

    Trigonometric Equations. This type asked 4 times: NDA 2 2018, NDA 1 2019, NDA 1 2020, NDA 2 2021. This one: NDA 2 2021

    16
    If sin⁡θ\sin\theta and cos⁡θ\cos\theta are the roots of the equation ax2+bx+c=0ax^{2}+bx+c=0, then which one of the following is correct?

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  5. Question 5

    Limits & Continuity. This type asked 4 times: NDA 1 2018, NDA 2 2018, NDA 1 2019, NDA 1 2020. This one: NDA 1 2020

    81
    If f(x)=sin⁡xxf(x)=\frac{\sin x}{x}, where x∈Rx\in\mathbf{R}, is to be continuous at x=0x=0, then the value of the function at x=0x=0

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