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Day 220: NDA Maths

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

  1. Question 1

    Inverse Trigonometry. Asked once: NDA 1 2021 (same type asked 4 times)

    21
    The equation sin⁡−1x−cos⁡−1x=π6\sin^{-1} x - \cos^{-1} x = \frac{\pi}{6} has

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  2. Question 2

    Probability. Asked once: NDA 2 2023 (same type asked 4 times)

    114
    In a class of nn students including P and Q, what is the probability that P and Q sit together if seats assigned randomly?

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  3. Question 3

    Statistics. Asked once: NDA 1 2017 (same type asked 4 times)

    117
    A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrectly as 40 instead of 35. If we correct the data, then which one of the following is correct?

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  4. Question 4

    3D Geometry. Asked once: NDA 2 2017 (same type asked 4 times)

    42
    The length of the normal from origin to the plane x+2y−2z=9x + 2y - 2z = 9 is equal to

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  5. Question 5

    Matrices & Determinants. Asked once: NDA 1 2020 (same type asked 4 times)

    48
    Let pp, qq and rr be three distinct positive real numbers. If D=∣pqrqrprpq∣D = \begin{vmatrix}p & q & r \\ q & r & p \\ r & p & q\end{vmatrix}, then which one of the following is correct?

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