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Day 124: NDA Maths

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

  1. Question 1

    Functions. Asked once: NDA 1 2021 (same type asked 3 times)

    38
    Consider the following statements: 1. A function f:Z→Zf:\mathbb{Z}\to\mathbb{Z}, defined by f(x)=x+1f(x)=x+1, is one-one as well as onto. 2. A function f:N→Nf:\mathbb{N}\to\mathbb{N}, defined by f(x)=x+1f(x)=x+1, is one-one but not onto. Which of the above statements is/are correct?

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  2. Question 2

    Lines. Asked once: NDA 1 2019 (same type asked 3 times)

    58
    What is the equation of the straight line which is perpendicular to y=xy=x and passes through (3,2)(3,2)?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 1 2022 (same type asked 3 times)

    7
    Let AA be a non-singular matrix and B=adjAB = \text{adj}A. Which of the following statements is/are correct? 1. AB=BAAB=BA 2. ABAB is a scalar matrix 3. ABAB can be a null matrix Select the correct answer using the code given below:

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 2 2021 (same type asked 3 times)

    47
    How many distinct 2×22\times2 matrices exist with all four entries taken from {1,2}\{1,2\}?

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  5. Question 5

    Properties of Triangle. Asked once: NDA 2 2021 (same type asked 3 times)

    41
    Let ABCABC be a triangle. If cos⁡2A+cos⁡2B+cos⁡2C=−1\cos 2A+\cos 2B+\cos 2C=-1, then which one of the following is correct?

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