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Day 11: JEE Mains Maths

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

  1. Question 1

    Binomial Theorem. This type asked 7 times: 27 Jun 2022, 31 Jan 2023, 6 Apr 2023, 8 Apr 2023, 13 Apr 2023, 9 Apr 2024, 5 Apr 2026 S2. This one: 5 Apr 2026 S2 See all 7 of this type

    57
    The coefficient of x2x^{2} in the expansion of (2x2+1x)10,x≠0\left( 2x^{2}+\frac{1}{x} \right)^{10},x \neq 0, is :

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  2. Question 2

    Permutations and Combinations. This type asked 7 times: 2021 Paper 1, 26 Jun 2022, 24 Jan 2023, 25 Jan 2023, 30 Jan 2024, 7 Apr 2025, 5 Apr 2026 S2. This one: 5 Apr 2026 S2 See all 7 of this type

    59
    A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is:

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  3. Question 3

    Relations and Functions. This type asked 7 times: 10 Apr 2023, 11 Apr 2023, 15 Apr 2023, 9 Apr 2024, 24 Jan 2026 S1, 2 Apr 2026 S2, 5 Apr 2026 S2. This one: 5 Apr 2026 S2 See all 7 of this type

    71
    Let A={1,4,7}A = \{ 1,4,7\} and B={2,3,8}B = \{ 2,3,8\}. Then the number of elements, in the relation R={((a1, b1) R = \left\{ \left( \left( a_{1},{\text{ }b}_{1} \right) \right.\ \right.,  (a2, b2))∈((A×B)×(A×B)):a1+b2\left. \ \left( a_{2},{\text{ }b}_{2} \right) \right) \in ((A \times B) \times (A \times B)):a_{1} + b_{2} divides  a2+b1}\left. \ a_{2} + b_{1} \right\} is ____\_\_\_\_

  4. Question 4

    Three Dimensional Geometry. This type asked 7 times: 14 Jun 2022, 25 Jan 2023, 10 Apr 2023, 29 Jan 2024, 9 Apr 2024, 21 Jan 2026 S2, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 7 of this type

    64
    A line with direction ratios 1,−1,21, - 1,2 intersects the lines x2=y3=z+13\frac{x}{2}=\frac{y}{3}=\frac{z + 1}{3} and x+1−1=y−21=z4\frac{x + 1}{- 1}=\frac{y - 2}{1}=\frac{z}{4} at the points P and Q , respectively. If the length of the line segment PQ is α\alpha, then 225α2225\alpha^{2} is equal to:

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  5. Question 5

    Limits and Continuity. This type asked 7 times: 14 Jun 2022, 12 Apr 2023, 5 Apr 2024, 6 Apr 2024, 7 Apr 2025, 22 Jan 2026 S2, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 7 of this type

    75
    The number of points in the interval [2,4], at which the function f(x)=[x2−x−12]f(x) = \left\lbrack x^{2} - x - \frac{1}{2} \right\rbrack, where [⋅]\lbrack \cdot \rbrack denotes the greatest integer function, is discontinuous, is ____\_\_\_\_ .