PYQ Vault
EbooksTutor

Day 46: NDA Maths

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

  1. Question 1

    Functions. Asked 2 times: NDA 1 2017*, NDA 1 2024 (* = numbers or wording changed that year)

    73
    If f(x)=ax−bf(x)=ax-b and g(x)=cx+dg(x)=cx+d are such that f(g(x))=g(f(x))f(g(x))=g(f(x)), then which one of the following holds?

    Tap an option to check your answer.

  2. Question 2

    Lines. Asked 2 times: NDA 1 2017*, NDA 1 2024 (* = numbers or wording changed that year)

    62
    Triangle ABCABC has A(3,5)A(3,5). The mid-points of sides ABAB and ACAC are at (−1,2)(-1,2) and (6,4)(6,4) respectively. What are the coordinates of the centroid of the triangle ABCABC?

    Tap an option to check your answer.

  3. Question 3

    Lines. Asked 2 times: NDA 2 2017*, NDA 2 2023 (* = numbers or wording changed that year)

    82
    The points (−a,−b)(-a,-b), (0,0)(0,0), (a,b)(a,b) and (a2,ab)(a^2,ab) are:

    Tap an option to check your answer.

  4. Question 4

    Sequence & Series. Asked 2 times: NDA 1 2022*, NDA 2 2023 (* = numbers or wording changed that year)

    10
    If (a+b), 2b, (b+c)(a+b),\ 2b,\ (b+c) are in HP, then which one of the following is correct?

    Tap an option to check your answer.

  5. Question 5

    Vectors. Asked 2 times: NDA 1 2020, NDA 2 2023

    92
    If (a⃗×b⃗)2+(a⃗⋅b⃗)2=144(\vec{a}\times\vec{b})^2+(\vec{a}\cdot\vec{b})^2=144 and ∣b⃗∣=4|\vec{b}|=4, then what is the value of ∣a⃗∣|\vec{a}|?

    Tap an option to check your answer.