PYQ Vault
EbooksTutor

Day 207: NDA Maths

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

  1. Question 1

    Quadratic Equations. Asked once: NDA 2 2019 (same type asked 2 times)

    105
    If pp and qq are the roots of the equation x2−30x+221=0x^{2} - 30x + 221 = 0, what is the value of p3+q3p^{3} + q^{3} ?

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. Asked once: NDA 1 2021 (same type asked 2 times)

    77
    A particle starts from origin with a velocity (in m/s) given by the equation dxdt=x+1\frac{dx}{dt}=x+1. The time (in second) taken by the particle to traverse a distance of 24 m is

    Tap an option to check your answer.

  3. Question 3

    Differential Equations. Asked once: NDA 1 2017 (same type asked 2 times)

    87
    What is the differential equation corresponding to y2−2ay+x2=a2y^2-2ay+x^2=a^2 by eliminating aa?

    Tap an option to check your answer.

  4. Question 4

    Sets & Relations. Asked once: NDA 2 2017 (same type asked 2 times)

    7
    If A={x:x is a multiple of 2}A = \{x : x \text{ is a multiple of } 2\}, B={x:x is a multiple of 5}B = \{x : x \text{ is a multiple of } 5\} and C={x:x is a multiple of 10}C = \{x : x \text{ is a multiple of } 10\}, then A∩(B∩C)A \cap (B \cap C) is equal to

    Tap an option to check your answer.

  5. Question 5

    Lines. Asked once: NDA 2 2019 (same type asked 8 times)

    52
    What is the angle between the lines xcos⁡α+ysin⁡α=ax\cos\alpha + y\sin\alpha = a and xsin⁡β−ycos⁡β=ax\sin\beta - y\cos\beta = a ?

    Tap an option to check your answer.