PYQ Vault

Day 338: NDA Maths

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

  1. Question 1

    Trigonometric Identities. Asked once: NDA 1 2022

    32
    What is the value of cos⁡47π8+cos⁡45π8\cos^4\frac{7\pi}{8}+\cos^4\frac{5\pi}{8}?

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  2. Question 2

    Vectors. Asked once: NDA 1 2022

    97
    If a⃗,b⃗,c⃗\vec{a}, \vec{b}, \vec{c} are the position vectors of the vertices A,B,CA, B, C respectively of a triangle ABCABC and GG is the centroid of the triangle, then what is AG→\overrightarrow{AG} equal to?

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  3. Question 3

    Application of Derivatives. Asked once: NDA 1 2020

    80
    Let y=3x2+2y=3x^2+2. If xx changes from 10 to 10·1, then what is the total change in yy?

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  4. Question 4

    Differentiation. Asked once: NDA 1 2019

    79
    If f(x)=sin⁡(cos⁡x)f(x)=\sin(\cos x), then f′(x)f'(x) is equal to

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  5. Question 5

    Functions. Asked once: NDA 1 2022

    56
    Consider the following statements in respect of the function y=[x]y=[x], x∈(−1,1)x\in(-1,1) where [.][.] is the greatest integer function: 1. Its derivative is 0 at x=0.5x=0.5 2. It is continuous at x=0x=0 Which of the above statements is/are correct?

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