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Day 198: JEE Mains Maths

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

  1. Question 1

    Sequences and Series. Asked once: 28 Jun 2022 (same type asked 2 times) See all 2 of this type

    155
    If nn arithmetic means are inserted between aa and 100 such that the ratio of the first mean to the last mean is 1:71:7 and a+n=33a + n = 33, then the value of nn is

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  2. Question 2

    Permutations and Combinations. Asked once: 5 Apr 2024 (same type asked 2 times) See all 2 of this type

    67
    Let A={1,3,7,9,11}\mathbf{A = \{ 1,3,7,9,11\}} and B={2,4,5,7,8,10,12}\mathbf{B = \{ 2,4,5,7,8,10,12\}}. Then the total number of one-one maps f:A→Bf:A \rightarrow B, such that f(a)+f(c)=14f(a) + f(c) = 14, is:

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  3. Question 3

    Statistics. Asked once: 30 Jan 2024 (same type asked 2 times) See all 2 of this type

    180
    The variance σ2\sigma^{2} of the data
    xix_{i}0156101217
    fif_{i}3232633
    is

  4. Question 4

    Application of Derivatives. Asked once: 13 Apr 2023 (same type asked 2 times) See all 2 of this type

    62
    max⁡0≤x≤π{x−2sin⁡xcosx+13sin⁡3x}=\underset{0 \leq x \leq \pi}{\max} \left\{ x - 2\sin xcosx +\frac{1}{3}\sin3x \right\}=

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  5. Question 5

    Conic Sections. Asked once: 23 Jan 2026 S2 (same type asked 2 times) See all 2 of this type

    59
    Let PQ be a chord of the hyperbola x24−y2 b2=1\frac{x^{2}}{4}-\frac{y^{2}}{{\text{ }b}^{2}}= 1, perpendicular to the x -axis such that OPQ is an equilateral triangle, O being the centre of the hyperbola. If the eccentricity of the hyperbola is 3\sqrt{3}, then the area of the triangle OPQ is :

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