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Day 294: NDA Maths

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

  1. Question 1

    Sets & Relations. Asked once: NDA 2 2017

    6
    If EE is the universal set and A=B∪CA = B \cup C, then the set E−(E−(E−(E−(E−A))))E-(E-(E-(E-(E-A)))) is the same as the set

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  2. Question 2

    Statistics. Asked once: NDA 1 2023

    106
    If two lines of regression are x+4y+1=0x+4y+1=0 and 4x+9y+7=04x+9y+7=0, then what is the value of xx when y=−3y=-3?

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  3. Question 3

    Trigonometric Equations. Asked once: NDA 2 2021

    24
    If sin⁡(A+B)=1\sin(A+B)=1 and 2sin⁡(A−B)=12\sin(A-B)=1, where 0<A,B<π20<A,B<\frac{\pi}{2}, then what is tan⁡A:tan⁡B\tan A:\tan B equal to?

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  4. Question 4

    Trigonometric Identities. Asked once: NDA 2 2024

    32
    If xcos⁡θ=ycos⁡ ⁣(2π3−θ)=zcos⁡ ⁣(2π3+θ)\dfrac{x}{\cos\theta}=\dfrac{y}{\cos\!\left(\dfrac{2\pi}{3}-\theta\right)}=\dfrac{z}{\cos\!\left(\dfrac{2\pi}{3}+\theta\right)}, then what is x+y+zx+y+z equal to?

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  5. Question 5

    Vectors. Asked once: NDA 2 2024

    55
    The vectors a⃗,b⃗\vec{a},\vec{b} and c⃗\vec{c} are of the same length. If taken pairwise, they form equal angles. If a⃗=i^+j^\vec{a}=\hat{i}+\hat{j} and b⃗=j^+k^\vec{b}=\hat{j}+\hat{k}, then what can c⃗\vec{c} be equal to? A. i^+k^\hat{i}+\hat{k} B. −i^+4j^−k^3\dfrac{-\hat{i}+4\hat{j}-\hat{k}}{3} Select the correct answer using the code given below.

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