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Day 235: NDA Maths

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

  1. Question 1

    Differential Equations. Asked once: NDA 1 2017 (same type asked 6 times)

    86
    What are the degree and order respectively of the differential equation y=x(dydx)2+(dxdy)2y=x\left(\dfrac{dy}{dx}\right)^2+\left(\dfrac{dx}{dy}\right)^2?

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  2. Question 2

    Application of Derivatives. Asked once: NDA 2 2018 (same type asked 5 times)

    86
    In which one of the following intervals is the function f(x)=x2−5x+6f(x)=x^2-5x+6 decreasing?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 1 2023 (same type asked 5 times)

    4
    Let AA be a matrix of order 3×33\times3 and ∣A∣=4|A|=4. If ∣2 adj(3A)∣=2α3β|2\,\text{adj}(3A)|=2^{\alpha}3^{\beta}, then what is the value of (α+β)(\alpha+\beta)?

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  4. Question 4

    Sequence & Series. Asked once: NDA 1 2020 (same type asked 5 times)

    42
    If p2p^2, q2q^2 and r2r^2 (where p,q,r>0p,q,r>0) are in GP, then which of the following is/are correct? 1. pp, qq and rr are in GP. 2. ln⁡p\ln p, ln⁡q\ln q and ln⁡r\ln r are in AP. Select the correct answer using the code given below:

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  5. Question 5

    Binomial Distribution. Asked once: NDA 2 2017 (same type asked 5 times)

    110
    The probability that a ship safely reaches a port is 13\dfrac{1}{3}. The probability that out of 5 ships, at least 4 ships would arrive safely is

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