PYQ Vault

Day 285: NDA Maths

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

  1. Question 1

    Binomial Theorem. Asked once: NDA 1 2021

    47
    What is the sum of the coefficients of first and last terms in the expansion of (1+x)2n(1+x)^{2n}, where nn is a natural number?

    Tap an option to check your answer.

  2. Question 2

    Circles. Asked once: NDA 1 2019

    52
    A circle is drawn on the chord of a circle x2+y2=a2x^2+y^2=a^2 as diameter. The chord lies on the line x+y=ax+y=a. What is the equation of the circle?

    Tap an option to check your answer.

  3. Question 3

    Complex Numbers. Asked once: NDA 1 2024

    2
    If zz is any complex number and iz3+z2−z+i=0iz^3+z^2-z+i=0, where i=−1i=\sqrt{-1}, then what is the value of (∣z∣+1)2(|z|+1)^2?

    Tap an option to check your answer.

  4. Question 4

    Conics. Asked once: NDA 1 2022

    84
    What is the equation of the parabola with focus (−3,0)(-3,0) and directrix x−3=0x-3=0?

    Tap an option to check your answer.

  5. Question 5

    Definite Integration. Asked once: NDA 1 2020

    79
    What is the value of ∫0π/4(tan⁡3x+tan⁡x) dx\int_0^{\pi/4}(\tan^3 x+\tan x)\,dx?

    Tap an option to check your answer.