PYQ Vault
EbooksTutor

Day 342: NDA Maths

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

  1. Question 1 (case study, 2 parts)

    Lines. Asked once: NDA 2 2021

    Direction: Consider the following for the next two (02) items that follow. The equations of the sides AB, BC and CA of a triangle ABC are x - 2 = 0, y + 1 = 0 and x + 2y - 4 = 0 respectively.
    57
    What is the equation of the altitude through BB on ACAC?

    Tap an option to check your answer.

    58
    What are the coordinates of circumcentre of the triangle?

    Tap an option to check your answer.

  2. Question 2

    Matrices & Determinants. Asked once: NDA 1 2024

    16
    Consider the following statements in respect of a skew-symmetric matrix AA of order 3: A. All diagonal elements are zero. B. The sum of all the diagonal elements of the matrix is zero. C. AA is an orthogonal matrix. Which of the statements given above are correct?

    Tap an option to check your answer.

  3. Question 3

    Permutation & Combination. Asked once: NDA 2 2018

    117
    Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked I, II and III and rolled. Let x, y and z represent the number on die-I, die-II and die-III respectively. What is the number of possible outcomes such that x>y>zx>y>z?

    Tap an option to check your answer.

  4. Question 4

    Probability. Asked once: NDA 1 2024

    109
    Let m=77nm=77^n. The index nn is given a positive integral value at random. What is the probability that the value of mm will have 1 in the units place?

    Tap an option to check your answer.

  5. Question 5

    Properties of Triangle. Asked once: NDA 2 2017

    34
    Angle α\alpha is divided into two parts AA and BB such that A−B=xA - B = x and tan⁡A:tan⁡B=p:q\tan A : \tan B = p : q. The value of sin⁡x\sin x is equal to

    Tap an option to check your answer.