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Day 62: JEE Mains Maths

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

  1. Question 1

    Definite Integration. This type asked 3 times: 2021 Paper 25, 29 Jan 2024, 21 Jan 2026 S1. This one: 21 Jan 2026 S1 See all 3 of this type

    75
    6∫0π∣(sin⁡3x+sin⁡2x+sin⁡x)∣dx6\int_{0}^{\pi} |(\sin3x + \sin2x + \sin x)|dx is equal to

  2. Question 2

    Quadratic Equations. This type asked 3 times: 6 Apr 2023, 28 Jan 2025, 21 Jan 2026 S1. This one: 21 Jan 2026 S1 See all 3 of this type

    69
    The sum of all the roots of the equation (x−1)2−5∣x−1∣+6=0(x - 1)^{2}- 5|x - 1| + 6 = 0, is:

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  3. Question 3

    Relations and Functions. This type asked 3 times: 30 Jan 2024, 22 Jan 2025, 21 Jan 2026 S1. This one: 21 Jan 2026 S1 See all 3 of this type

    53
    The number of relations, defined on the set {a,b,c,d}\mathbf{\{ a,b,c,d\}}, which are both reflexive and symmetric, is equal to:

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  4. Question 4

    Relations and Functions. This type asked 3 times: 12 Apr 2023, 22 Jan 2025, 7 Apr 2025. This one: 7 Apr 2025 See all 3 of this type

    72
    The number of relations on the set A={1,2,3}A = \{ 1,2,3\} containing at most 6 elements including (1,2)(1,2), which are reflexive and transitive but not symmetric, is .

  5. Question 5

    Three Dimensional Geometry. This type asked 3 times: 30 Jan 2024, 3 Apr 2025, 7 Apr 2025. This one: 7 Apr 2025 See all 3 of this type

    68
    Let the line L pass through (1,1,1)(1,1,1) and intersect the lines x−12=y+13=z−14\frac{x- 1}{2}=\frac{y+ 1}{3}=\frac{z- 1}{4} and x−31=y−42=z1\frac{x- 3}{1}=\frac{y- 4}{2}=\frac{z}{1} Then, which of the following points lies on the line L?.

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