PYQ Vault
EbooksTutor

Day 269: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Binomial Theorem. Asked once: NDA 1 2022

    50
    In the expansion of (x+1x)2n\left(x+\frac{1}{x}\right)^{2n}, what is the (n+1)(n+1)th term from the end (when arranged in descending powers of xx)?

    Tap an option to check your answer.

  2. Question 2 (case study, 2 parts)

    Circles. Asked once: NDA 1 2023

    Consider the following for the next two (02) items that follow: The line y=xy=x partitions the circle (x−a)2+y2=a2(x-a)^{2}+y^{2}=a^{2} in two segments.
    59
    What is the area of minor segment?

    Tap an option to check your answer.

    60
    What is the area of major segment?

    Tap an option to check your answer.

  3. Question 3

    Complex Numbers. Asked once: NDA 1 2025

    13
    What is (3+i3−i)3\left(\frac{\sqrt{3}+i}{\sqrt{3}-i}\right)^3 equal to?

    Tap an option to check your answer.

  4. Question 4

    Conics. Asked once: NDA 2 2023

    86
    Consider hyperbola x2cos⁡2θ−y2sin⁡2θ=1\frac{x^2}{\cos^2\theta}-\frac{y^2}{\sin^2\theta}=1. (1) Two foci are independent of θ\theta. (2) Eccentricity is sec⁡θ\sec\theta. (3) Distance between foci is 2. How many statements are correct?

    Tap an option to check your answer.

  5. Question 5

    Definite Integration. Asked once: NDA 1 2022

    61
    What is ∫0π4dx(sin⁡x+cos⁡x)2\int_0^{\frac{\pi}{4}}\frac{dx}{(\sin x+\cos x)^2} equal to?

    Tap an option to check your answer.