PYQ Vault

Day 85: NDA Maths

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

  1. Question 1

    Matrices & Determinants. This type asked 2 times: NDA 1 2017, NDA 1 2020. This one: NDA 1 2020

    9
    Let A=(x+yy2xx−y)A = \begin{pmatrix}x+y & y \\ 2x & x-y\end{pmatrix}, B=(2−1)B = \begin{pmatrix}2 \\ -1\end{pmatrix} and C=(32)C = \begin{pmatrix}3 \\ 2\end{pmatrix}. If AB=CAB = C, then what is the value of the determinant of the matrix AA?

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. This type asked 2 times: NDA 1 2017, NDA 2 2019. This one: NDA 2 2019

    96
    The differential equation which represents the family of curves given by tan⁡y=c(1−ex)\tan y = c(1-e^{x}) is

    Tap an option to check your answer.

  3. Question 3

    Limits & Continuity. This type asked 2 times: NDA 1 2018, NDA 2 2019. This one: NDA 2 2019

    73
    What is the value of lim⁡x→0sin⁡x∘tan⁡3x∘\lim_{x \to 0} \dfrac{\sin x^{\circ}}{\tan 3x^{\circ}} ?

    Tap an option to check your answer.

  4. Question 4

    Permutation & Combination. This type asked 2 times: NDA 1 2017, NDA 2 2019. This one: NDA 2 2019

    30
    What is C(47,4)+C(51,3)+C(50,3)+C(49,3)+C(48,3)+C(47,3)C(47, 4) + C(51, 3) + C(50, 3) + C(49, 3) + C(48, 3) + C(47, 3) equal to ?

    Tap an option to check your answer.

  5. Question 5

    Properties of Triangle. This type asked 2 times: NDA 1 2018, NDA 2 2019. This one: NDA 2 2019

    62
    If the angles of a triangle ABCABC are in AP and b:c=3:2b : c = \sqrt{3} : \sqrt{2}, then what is the measure of angle AA ?

    Tap an option to check your answer.