PYQ Vault
EbooksTutor

Day 289: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 1 2023

    113
    Let PP, QQ, RR represent mean, median and mode. If for some distribution 5P=4Q=R25P=4Q=\dfrac{R}{2}, then what is P+Q2P+0.7R\dfrac{P+Q}{2P+0.7R} equal to?

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Equations. Asked once: NDA 1 2022

    39
    If (1+tan⁡θ)(1+tan⁡9θ)=2(1+\tan\theta)(1+\tan9\theta)=2, then what is the value of tan⁡(10θ)\tan(10\theta)?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Identities. Asked once: NDA 2 2024

    31
    Consider the following numbers: A. tan⁡22.5°\tan22.5° B. cot⁡22.5°\cot22.5° C. tan⁡22.5°−cot⁡22.5°\tan22.5°-\cot22.5° How many of the above are irrational numbers?

    Tap an option to check your answer.

  4. Question 4

    Vectors. Asked once: NDA 2 2024

    52
    For what value of the angle between the vectors a⃗\vec{a} and b⃗\vec{b} is the quantity ∣a⃗×b⃗∣+3∣a⃗⋅b⃗∣|\vec{a}\times\vec{b}|+\sqrt{3}|\vec{a}\cdot\vec{b}| maximum?

    Tap an option to check your answer.

  5. Question 5

    3D Geometry. Asked once: NDA 1 2020

    62
    What is the perpendicular distance from the point (2,3,4)(2,3,4) to the line x−01=y−00=z−00\frac{x-0}{1}=\frac{y-0}{0}=\frac{z-0}{0}?

    Tap an option to check your answer.