PYQ Vault
EbooksTutor

Day 539: JEE Mains Maths

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

  1. Question 1

    Determinants. Asked once: 2021 Paper 7

    86
    If A=[230−1]A=\begin{bmatrix} 2 & 3 \\ 0 & - 1 \end{bmatrix}, then the value of det(A4)+det(A10−(Adj(2A))10)det\left( A^{4} \right)+ det\left( A^{10}- (Adj(2A))^{10} \right) is equal to

  2. Question 2

    Indefinite Integration. Asked once: 26 Jun 2022

    158
    If ∫1x1−x1+xdx=g(x)+c,g(1)=0\int\frac{1}{x}\sqrt{\frac{1 - x}{1 + x}}dx = g(x) + c,g(1) = 0, then g(12)g\left( \frac{1}{2} \right) is equal to :

    Tap an option to check your answer.

  3. Question 3

    Limits and Continuity. Asked once: 26 Jul 2022

    61
    Let f:R→Rf:R \rightarrow R be a continuous function such that f(3x)−f(x)=xf(3x) - f(x) = x. If f(8)=7f(8) = 7, then f(14)f(14) is equal to:

    Tap an option to check your answer.

  4. Question 4

    Matrices. Asked once: 11 Apr 2023

    90
    Let A=[012a031c0]A =\begin{bmatrix} 0 & 1 & 2 \\ a & 0 & 3 \\ 1 & c & 0 \end{bmatrix}, where a,c∈Ra,c \in R. If A3=AA^{3}= A and the positive value of a belongs to the interval ( n−1,n]n - 1,n\rbrack, where n∈Nn \in N, then nn is equal to

  5. Question 5

    Permutations and Combinations. Asked once: 24 Jan 2023

    160
    The number of square matrices of order 5 with entries from the set {0,1}\mathbf{\{ 0,1\}}, such that the sum of all the elements in each row is 1 and the sum of all the elements in each column is also 1, is

    Tap an option to check your answer.