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Day 215: NDA Maths

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

  1. Question 1

    Differential Equations. Asked once: NDA 1 2019 (same type asked 4 times)

    89
    The differential equation of the system of circles touching the y-axis at the origin is

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  2. Question 2

    Differential Equations. Asked once: NDA 1 2018 (same type asked 4 times)

    91
    The order and degree of the DE y2=4a(x−a)y^2=4a(x-a), where a is arbitrary, are respectively

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  3. Question 3

    Differential Equations. Asked once: NDA 2 2018 (same type asked 4 times)

    99
    What is the solution of the differential equation dxdy=x+y+1x+y−1\frac{dx}{dy}=\frac{x+y+1}{x+y-1}?

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  4. Question 4

    Functions. Asked once: NDA 2 2018 (same type asked 4 times)

    25
    Let A={x∈R:−1≤x≤1}A = \{x \in \mathbb{R} : -1 \leq x \leq 1\}, B={y∈R:−1≤y≤1}B = \{y \in \mathbb{R} : -1 \leq y \leq 1\} and S be the subset of A×BA \times B, defined by S={(x,y)∈A×B:x2+y2=1}S = \{(x,y) \in A \times B : x^2 + y^2 = 1\}. Which one of the following is correct?

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  5. Question 5

    Matrices & Determinants. Asked once: NDA 1 2022 (same type asked 4 times)

    8
    Consider the following statements in respect of square matrices AA and BB of same order: 1. If ABAB is a null matrix, then at least one of AA and BB is a null matrix. 2. If ABAB is an identity matrix, then BA=ABBA=AB. Which of the above statements is/are correct?

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