PYQ Vault

Day 187: NDA Maths

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

  1. Question 1

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

    94
    What is ∫exln⁡a dx\displaystyle\int e^{x\ln a}\,dx equal to?

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  2. Question 2

    Inverse Trigonometry. Asked once: NDA 2 2023 (same type asked 3 times)

    26
    What is 2cot⁡ ⁣(12cos⁡−1 ⁣53)2\cot\!\left(\tfrac{1}{2}\cos^{-1}\!\tfrac{\sqrt5}{3}\right) equal to?

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  3. Question 3

    Inverse Trigonometry. Asked once: NDA 2 2022 (same type asked 3 times)

    49
    What is tan⁡−1cot⁡(csc⁡−12)\tan^{-1}\cot(\csc^{-1}2) equal to?

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  4. Question 4

    Linear Inequalities. Asked once: NDA 2 2019 (same type asked 3 times)

    35
    What is the solution of x≤4x \leq 4, y≥0y \geq 0 and x≤−4x \leq -4, y≤0y \leq 0 ?

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  5. Question 5

    Lines. Asked once: NDA 1 2020 (same type asked 3 times)

    52
    The point (1,−1)(1,-1) is one of the vertices of a square. If 3x+2y=53x+2y=5 is the equation of one diagonal of the square, then what is the equation of the other diagonal?

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