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Day 9: JEE Mains Maths

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

  1. Question 1

    Statistics. This type asked 8 times: 2021 Paper 17, 31 Jan 2023, 6 Apr 2023, 10 Apr 2023, 13 Apr 2023, 9 Apr 2024, 23 Jan 2026 S2, 2 Apr 2026 S1. This one: 2 Apr 2026 S1 See all 8 of this type

    58
    If the mean of the data
    ClassFrequency
    5-102
    10-15kk
    15-2028
    20-2554
    25-30k+1k + 1
    30-355
    is 21, then kk is one of the roots of the equation :

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  2. Question 2

    Three Dimensional Geometry. This type asked 8 times: 2021 Paper 12, 2021 Paper 17, 28 Jul 2022, 29 Jan 2023, 6 Apr 2023, 12 Apr 2023, 13 Apr 2023, 2 Apr 2026 S1. This one: 2 Apr 2026 S1 See all 8 of this type

    63
    If the point of intersection of the lines x+13=y+a5=z+b+17\frac{x+ 1}{3}=\frac{y+a}{5}=\frac{z+b+ 1}{7} and x−21=y−b4=z−2a7\frac{x- 2}{1}=\frac{y-b}{4}=\frac{z- 2a}{7} lies on xyxy-plane, then the value of a+ba+b is :

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  3. Question 3

    Permutations and Combinations. This type asked 8 times: 2021 Paper 24, 25 Jul 2022, 29 Jan 2023, 6 Apr 2023, 11 Apr 2023, 13 Apr 2023, 29 Jan 2024, 24 Jan 2026 S2. This one: 24 Jan 2026 S2 See all 8 of this type

    59
    The letters of the word "UDAYPUR" are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word "UDAYPUR" is :

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  4. Question 4

    Statistics. This type asked 8 times: 2021 Paper 20, 25 Jun 2022, 24 Jan 2023, 30 Jan 2023, 1 Feb 2023, 23 Jan 2025, 22 Jan 2026 S2, 24 Jan 2026 S2. This one: 24 Jan 2026 S2 See all 8 of this type

    64
    Let X={x∈N:1≤x≤19}X = \{ x \in N:1 \leq x \leq 19\} and for some a,b∈Ra,b \in R, Y={ax+b:x∈X}Y = \{ ax + b:x \in X\}. If the mean and variance of the elements of Y are 30 and 750, respectively, then the sum of all possible values of bb is

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  5. Question 5

    Conic Sections. This type asked 8 times: 27 Jan 2024, 29 Jan 2024, 4 Apr 2024, 23 Jan 2025, 24 Jan 2025, 28 Jan 2025, 29 Jan 2025, 21 Jan 2026 S1. This one: 21 Jan 2026 S1 See all 8 of this type

    70
    Let O be the vertex of the parabola x2=4yx^{2}= 4y and Q be any point on it. Let the locus of the point P , which divides the line segment OQ internally in the ratio 2: 3 be the conic C . Then the equation of the chord of C , which is bisected at the point (1,2)(1,2), is:

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