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Day 497: JEE Mains Maths

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

  1. Question 1

    Matrices. Asked once: 8 Apr 2024

    81
    Let A=[2−111]A =\begin{bmatrix} 2 & - 1 \\ 1 & 1 \end{bmatrix}. If the sum of the diagonal elements of A13A^{13} is 3n3^{n}, then nn is equal to

  2. Question 2

    Permutations and Combinations. Asked once: 1 Feb 2024

    176
    The lines L1, L2,…,L20L_{1},{\text{ }L}_{2},\ldots,L_{20} are distinct. For n=1,2,3,…,10n = 1,2,3,\ldots,10 all the lines L2n−1L_{2n - 1} are parallel to each other and all the lines L2nL_{2n} pass through a given point PP. The maximum number of points of intersection of pairs of lines from the set {L1, L2,…,L20}\left\{ L_{1},{\text{ }L}_{2},\ldots,L_{20} \right\} is equal to:

  3. Question 3

    Probability. Asked once: 6 Apr 2024

    153
    If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly two addresses is:

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  4. Question 4

    Quadratic Equations. Asked once: 24 Jan 2025

    67
    The product of all the rational roots of the equation (x2−9x+11)2−(x−4)(x−5)=3\left( x^{2}- 9x + 11 \right)^{2}- (x - 4)(x - 5) = 3, is equal to :

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  5. Question 5

    Relations and Functions. Asked once: 22 Jan 2025

    67
    Let A={1,2,3,……,10}\mathbf{A = \{ 1,2,3,\ldots\ldots,10\}} and
    B={mn:m,n∈ A, m<n and gcd(m,n)=1}.B =\left\{ \frac{m}{n}:m,n \in\text{ }A,\text{ }m < n\text{~and~}gcd(m,n) = 1 \right\}.
    Then n(B)n(B) is equal to :

    Tap an option to check your answer.