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Day 191: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 2 parts)

    Sequence & Series. Asked once: NDA 2 2024 (same type asked 3 times)

    The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP.
    43
    What is the common difference?

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    44
    What is the sum of all five terms?

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  2. Question 2

    Sets & Relations. Asked once: NDA 1 2022 (same type asked 3 times)

    43
    Consider the following statements in respect of two non-empty sets AA and BB: 1. A∪B=A∩BA\cup B = A\cap B iff A=BA=B 2. A△B=φA\triangle B=\varphi iff A=BA=B Which of the above statements is/are correct?

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  3. Question 3

    Trigonometric Identities. Asked once: NDA 1 2018 (same type asked 3 times)

    46
    If sin⁡(x+y)sin⁡(x−y)=a+ba−b\frac{\sin(x+y)}{\sin(x-y)} = \frac{a+b}{a-b}, then what is tan⁡xtan⁡y\frac{\tan x}{\tan y} equal to?

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  4. Question 4

    3D Geometry. Asked once: NDA 2 2017 (same type asked 3 times)

    60
    The equation of the plane passing through the line of intersection of the planes x+y+z=1x + y + z = 1, 2x+3y+4z=72x + 3y + 4z = 7 and perpendicular to the plane x−5y+3z=5x - 5y + 3z = 5 is given by

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  5. Question 5

    Application of Derivatives. Asked once: NDA 1 2020 (same type asked 3 times)

    100
    Let ll be the length and bb be the breadth of a rectangle such that l+b=kl+b=k. What is the maximum area of the rectangle?

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