PYQ Vault

Day 23: NDA Maths

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

  1. Question 1

    Indefinite Integration. This type asked 3 times: NDA 1 2019, NDA 1 2020, NDA 2 2026. This one: NDA 2 2026

    73
    What is ∫exln⁡10ex dx\int e^{x \ln 10} e^x \, dx equal to?

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  2. Question 2

    Inverse Trigonometry. This type asked 3 times: NDA 2 2023, NDA 2 2025, NDA 2 2026. This one: NDA 2 2026

    14
    What is tan⁡2(12cos⁡−113)\tan^2\left(\frac{1}{2} \cos^{-1} \frac{1}{3}\right) equal to?

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  3. Question 3

    Inverse Trigonometry. This type asked 3 times: NDA 2 2022, NDA 2 2024, NDA 2 2026. This one: NDA 2 2026

    13
    What is sin⁡(tan⁡−10.75)\sin(\tan^{-1} 0.75) equal to?

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  4. Question 4

    Linear Inequalities. This type asked 3 times: NDA 2 2019, NDA 1 2022, NDA 2 2026. This one: NDA 2 2026

    50
    Consider the following system of linear inequalities : x−y≤3x - y \le 3 and x+y≥5x + y \ge 5 The solution of the inequalities lies in

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  5. Question 5

    Lines. This type asked 3 times: NDA 1 2018, NDA 2 2022, NDA 2 2026. This one: NDA 2 2026

    57
    Let PP and QQ be the points on the positive xx-axis and positive yy-axis respectively. A point N(2,1)N(2, 1) divides the line segment PQPQ in the ratio 1:21 : 2. What is the equation of the line?

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