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Day 192: NDA Maths

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

  1. Question 1

    Binomial Distribution. Asked once: NDA 2 2023 (same type asked 3 times)

    115
    In B(n,p)B(n,p), n=6n=6 and 9P(X=4)=P(X=2)9P(X=4)=P(X=2). What is pp equal to?

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  2. Question 2

    Binomial Theorem. Asked once: NDA 1 2022 (same type asked 3 times)

    12
    Consider the following statements in respect of the expansion of (x+y)10(x+y)^{10}: 1. Among all the coefficients of the terms, the coefficient of the 6th term has the highest value. 2. The coefficient of the 3rd term is equal to coefficient of the 9th term. Which of the above statements is/are correct?

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  3. Question 3

    Circles. Asked once: NDA 1 2022 (same type asked 3 times)

    83
    What is the equation of the circle which touches both the axes in the first quadrant and the line y−2=0y-2=0?

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  4. Question 4

    Complex Numbers. Asked once: NDA 2 2017 (same type asked 3 times)

    21
    The smallest positive integer nn for which (1+i1−i)n=1\left(\dfrac{1+i}{1-i}\right)^n = 1, is

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  5. Question 5

    Indefinite Integration. Asked once: NDA 1 2018 (same type asked 3 times)

    90
    What is ∫dx2x−1\int\frac{dx}{2^x-1} equal to?

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