PYQ Vault

Day 369: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked once: NDA 1 2022

    9
    If AA is the identity matrix of order 3 and BB is its transpose, then what is the value of the determinant of the matrix C=A+BC = A+B?

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  2. Question 2

    Probability. Asked once: NDA 2 2021

    102
    If P(A∣B)<P(A)P(A|B)<P(A), then which one of the following is correct?

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  3. Question 3

    Statistics. Asked once: NDA 1 2018

    105
    If xˉ\bar{x} is the mean of xix_i and xi=a+c yix_i = a + c\,y_i, then what is the mean of yiy_i?

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  4. Question 4

    Trigonometric Identities. Asked once: NDA 2 2019

    68
    What is cot⁡(A2)−tan⁡(A2)\cot\left(\dfrac{A}{2}\right) - \tan\left(\dfrac{A}{2}\right) equal to ?

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  5. Question 5

    Vectors. Asked once: NDA 1 2017

    67
    Let ABCDABCD be a parallelogram whose diagonals intersect at PP and let OO be the origin. What is OA→+OB→+OC→+OD→\overrightarrow{OA}+\overrightarrow{OB}+\overrightarrow{OC}+\overrightarrow{OD} equal to?

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