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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $I$ be the identity matrix of order $3 \times 3$ and for the matrix $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $\mathrm{A}=\left[\begin{array}{ccc}2 & 2+p & 2+p+q \\ 4 & 6+2 p & 8+3 p+2 q \\ 6 & 12+3 p & 20+6 p+3 q\end{array}\right]$. If...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let A be a $3 \times 3$ real matrix such that $A^2(A-2 I)-4(A-I)=O$, where I and O are the identity and null matrices, respectively. If...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the matrix $A=\left[\begin{array}{lll}1 & 0 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0\end{array}\right]$ satisfy $A^n=A^{n-2}+A^2-1$ for $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Negation of $p \wedge(q \wedge \sim(p \wedge q))$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let $B=\left[\begin{array}{ccc}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alpha & \alpha\end{array}\right], \alpha>2$ be the adjoint of a matrix...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the determinant of a square matrix A of order m be m – n, where m and n satisfy 4m + n = 22...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
The number of symmetric matrices of order 3, with all the entries from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9},...
JEE Main Mathematics Medium
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Q JEE-Main 2023
Let $\mathrm{A}=\left[\mathrm{a}_{\mathrm{i}}\right] 2 \times 2$ where $\mathrm{a}_{\mathrm{i}} \neq 0$ for all $\mathrm{i}, \mathrm{j}$ and $\mathrm{A}^2=\mathrm{I}$. Let a be the sum of all diagonal elements of...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $A=\left[\begin{array}{lll}0 & 1 & 2 \\ a & 0 & 3 \\ 1 & c & 0\end{array}\right]$, where $a, c \in R$. If $A^3=A$...
JEE Main Mathematics Medium
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