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Day 137: NDA Maths

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

  1. Question 1

    Conics. Asked once: NDA 2 2023 (same type asked 2 times)

    81
    What is the equation of directrix of parabola y2=4bxy^2=4bx, where b<0b<0 and b2+b−2=0b^2+b-2=0?

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  2. Question 2

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

    75
    If f(x)=xx−1f(x)=\dfrac{x}{x-1}, then what is f(a)f(a+1)\dfrac{f(a)}{f(a+1)} equal to?

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  3. Question 3

    Lines. Asked once: NDA 1 2021 (same type asked 2 times)

    59
    If AA, BB and CC are in AP, then the straight line Ax+2By+C=0Ax + 2By + C = 0 will always pass through a fixed point. The fixed point is

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 2 2018 (same type asked 2 times)

    12
    For a square matrix A, which of the following properties hold? 1. (A−1)−1=A(A^{-1})^{-1} = A 2. det⁡(A−1)=1det⁡A\det(A^{-1}) = \frac{1}{\det A} 3. (λA)−1=λA−1(\lambda A)^{-1} = \lambda A^{-1} where λ\lambda is a scalar Select the correct answer using the code given below:

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  5. Question 5

    Probability. Asked once: NDA 2 2025 (same type asked 2 times)

    103
    The probability that a family owns a laptop is 0.68; that it also owns a desktop is 0.56. If the probability that it owns both is 0.48, then what is the probability that a randomly selected family owns a laptop or a desktop?

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