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Day 78: NDA Maths

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

  1. Question 1

    Height & Distance. This type asked 2 times: NDA 1 2021, NDA 1 2022. This one: NDA 1 2022

    35
    The shadow of a tower becomes xx metre longer, when the angle of elevation of sun changes from 60°60° to θ\theta. If the height of the tower is 3x\sqrt{3}x metre, then which one of the following is correct?

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  2. Question 2

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

    62
    What is ∫(sin⁡x)−1/2(cos⁡x)−3/2 dx\int(\sin x)^{-1/2}(\cos x)^{-3/2}\,dx equal to?

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  3. Question 3

    Lines. This type asked 2 times: NDA 1 2018, NDA 1 2022. This one: NDA 1 2022

    82
    What is the equation of the straight line which passes through the point (1,−2)(1,-2) and cuts off equal intercepts from the axes?

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  4. Question 4

    Lines. This type asked 2 times: NDA 1 2020, NDA 1 2022. This one: NDA 1 2022

    81
    If the points with coordinates (−5,0)(-5,0), (5p2,10p)(5p^2,10p) and (5q2,10q)(5q^2,10q) are collinear, then what is the value of pqpq where p≠qp\neq q?

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  5. Question 5

    Permutation & Combination. This type asked 2 times: NDA 1 2019, NDA 1 2022. This one: NDA 1 2022

    15
    How many odd numbers between 300 and 400 are there in which none of the digits is repeated?

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