PYQ Vault

Day 29: NDA Maths

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

  1. Question 1

    Binomial Theorem. This type asked 3 times: NDA 1 2022, NDA 1 2025, NDA 2 2025. This one: NDA 2 2025

    20
    Which one of the following is the greatest coefficient in the expansion of (1+x)100(1+x)^{100}?

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  2. Question 2

    Circles. This type asked 3 times: NDA 1 2022, NDA 2 2023, NDA 2 2025. This one: NDA 2 2025

    64
    The circle x2+y2−2kx−2ky+k2=0x^2+y^2-2kx-2ky+k^2=0 touches the xx-axis at PP and yy-axis at QQ. What is PQPQ equal to?

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  3. Question 3

    Complex Numbers. This type asked 3 times: NDA 2 2017, NDA 1 2021, NDA 2 2025. This one: NDA 2 2025

    13
    If (1−i1+i)2m(1+i1−i)2n=1\left(\dfrac{1-i}{1+i}\right)^{2m}\left(\dfrac{1+i}{1-i}\right)^{2n}=1 where i=−1i=\sqrt{-1}, then what is the smallest positive value of (m−n)(m-n)?

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  4. Question 4

    Conics. This type asked 3 times: NDA 1 2022, NDA 1 2025, NDA 2 2025. This one: NDA 2 2025

    65
    What is the distance between the foci of the hyperbola x2−4y2=1x^2-4y^2=1?

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  5. Question 5

    Indefinite Integration. This type asked 3 times: NDA 1 2018, NDA 1 2022, NDA 2 2025. This one: NDA 2 2025

    95
    What is ∫dx10x+10−x\displaystyle\int\dfrac{dx}{10^x+10^{-x}} equal to?

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