PYQ Vault

Day 183: NDA Maths

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

  1. Question 1

    Lines. Asked once: NDA 1 2018 (same type asked 4 times)

    64
    What is the distance between 3x+4y=93x+4y=9 and 6x+8y=156x+8y=15?

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  2. Question 2

    Matrices & Determinants. Asked once: NDA 1 2021 (same type asked 4 times)

    5
    If a+b+c=4a+b+c=4 and ab+bc+ca=0ab+bc+ca=0, then what is the value of ∣abcbcacab∣\begin{vmatrix}a & b & c\\b & c & a\\c & a & b\end{vmatrix}?

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  3. Question 3

    3D Geometry. Asked once: NDA 1 2021 (same type asked 4 times)

    66
    What is the angle between the two lines having direction ratios ⟨6,3,6⟩\langle 6, 3, 6\rangle and ⟨3,3,0⟩\langle 3, 3, 0\rangle?

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  4. Question 4

    Binomial Distribution. Asked once: NDA 2 2022 (same type asked 4 times)

    112
    During war one ship out of 5 was sunk on an average in making a certain voyage. What is the probability that exactly 3 out of 5 ships would arrive safely?

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  5. Question 5

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

    104
    The coefficient of correlation is independent of

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