PYQ Vault

Day 33: NDA Maths

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

  1. Question 1

    Application of Derivatives. This type asked 3 times: NDA 2 2017, NDA 1 2018, NDA 2 2024. This one: NDA 2 2024

    75
    What is the maximum value of acos⁡x+bsin⁡x+ca\cos x+b\sin x+c?

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  2. Question 2

    Circles. This type asked 3 times: NDA 2 2018, NDA 1 2020, NDA 2 2024. This one: NDA 2 2024

    59
    The equation of a circle is (x2−4x+3)+(y2−6y+8)=0(x^2-4x+3)+(y^2-6y+8)=0. Which of the following statements are correct? A. The end points of a diameter of the circle are at (1,2)(1,2) and (3,4)(3,4). B. The end points of a diameter of the circle are at (1,4)(1,4) and (3,2)(3,2). C. The end points of a diameter of the circle are at (2,4)(2,4) and (4,2)(4,2). Select the answer using the code given below.

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  3. Question 3 (case study, 2 parts)

    Functions. This type asked 3 times: NDA 2 2023, NDA 1 2024, NDA 2 2024. This one: NDA 2 2024

    Let f∘g(x)=cos⁡2xf\circ g(x)=\cos^2\sqrt{x} and g∘f(x)=∣cos⁡x∣g\circ f(x)=|\cos x|.
    81
    Which one of the following is f(x)f(x)?

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    82
    Which one of the following is g(x)g(x)?

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  4. Question 4

    Permutation & Combination. This type asked 3 times: NDA 2 2022, NDA 1 2024, NDA 2 2024. This one: NDA 2 2024

    3
    How many 4-digit numbers are there having all digits as odd?

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  5. Question 5

    Permutation & Combination. This type asked 3 times: NDA 1 2021, NDA 1 2022, NDA 2 2024. This one: NDA 2 2024

    17
    In how many ways can a student choose (n−2)(n-2) courses out of nn courses if 2 courses are compulsory (n>4n>4)?

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