PYQ Vault

Day 341: NDA Maths

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

  1. Question 1

    Vectors. Asked once: NDA 2 2021

    67
    If a⃗+3b⃗=3i^−j^\vec{a}+3\vec{b}=3\hat{i}-\hat{j} and 2a⃗+b⃗=i^−2j^2\vec{a}+\vec{b}=\hat{i}-2\hat{j}, then what is the angle between a⃗\vec{a} and b⃗\vec{b}?

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  2. Question 2

    Application of Derivatives. Asked once: NDA 1 2020

    72
    The radius of a circle is increasing at the rate of 0.70.7 cm/sec. What is the rate of increase of its circumference?

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  3. Question 3

    Differentiation. Asked once: NDA 2 2018

    96
    What is d1−sin⁡2xdx\frac{d\sqrt{1-\sin 2x}}{dx} equal to, where π4<x<π2\frac{\pi}{4}<x<\frac{\pi}{2}?

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  4. Question 4

    Functions. Asked once: NDA 1 2022

    73
    Consider the following in respect of the function f(x)=10xf(x)=10^x: 1. Its domain is (−∞,∞)(-\infty,\infty) 2. It is a continuous function 3. It is differentiable at x=0x=0 Which of the above statements are correct?

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  5. Question 5

    Limits & Continuity. Asked once: NDA 2 2017

    80
    If f(x)=x2−1f(x) = \dfrac{x}{2} - 1, then on the interval [0,π][0, \pi] which one of the following is correct?

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