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Day 164: NDA Maths

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

  1. Question 1

    Application of Derivatives. Asked once: NDA 2 2017 (same type asked 2 times)

    89
    A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet. If the capacity of the jar is to be maximum, then the diameter of the jar must be kk times the height of the jar. The value of kk is

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  2. Question 2

    Lines. Asked once: NDA 1 2018 (same type asked 2 times)

    55
    Consider the following statements about perpendicular length p from origin: 1. To line ax+by=c: p2=c2/(a2+b2)p^2=c^2/(a^2+b^2) 2. To line x/a+y/b=1: 1/p2=1/a2+1/b21/p^2=1/a^2+1/b^2 3. To line y=mx+c: 1/p2=(1+m2+c2)/c21/p^2=(1+m^2+c^2)/c^2 Which is/are correct?

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  3. Question 3

    Probability. Asked once: NDA 1 2017 (same type asked 2 times)

    111
    A card is drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that it is an ace?

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  4. Question 4

    Statistics. Asked once: NDA 1 2018 (same type asked 2 times)

    120
    SD sigma of first N natural numbers can be obtained using?

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  5. Question 5

    Vectors. Asked once: NDA 1 2018 (same type asked 2 times)

    66
    If ∣a⃗∣=2|\vec{a}|=2, ∣b⃗∣=7|\vec{b}|=7 and a⃗×b⃗=3i^+2j^+6k^\vec{a}\times\vec{b}=3\hat{i}+2\hat{j}+6\hat{k}, what is the acute angle between them?

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