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Get chapter-wise JEE Main & Advanced questions with solutions

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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Q JEE MAIN 2023
Let $A$ be a $2 \times 2$ matrix with real entries such that $A^{\prime}=\alpha A+I$, where $\alpha \in \mathbb{R}-\{-1,1\}$. If $\operatorname{det}\left(A^2-A\right)=4$, then the sum of...
JEE Main Mathematics Hard
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Q JEE MAIN 2023
Let $A=\left[\begin{array}{cc}1 & \frac{1}{51} \\ 0 & 1\end{array}\right]$. If $B=\left[\begin{array}{cc}1 & 2 \\ -1 & -1\end{array}\right] A\left[\begin{array}{cc}-1 & -2 \\ 1 & 1\end{array}\right]$, then the...
JEE Main Physics Hard
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Q JEE MAIN 2023
Let $f(x)=\frac{\sin x+\cos x-\sqrt{2}}{\sin x-\cos x}, x \in[0, \pi]-\left\{\frac{\pi}{4}\right\}$. Then $f\left(\frac{7 \pi}{12}\right) f^{\prime \prime}\left(\frac{7 \pi}{12}\right)$ is equal to -
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $P=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right], A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]$ and $Q=P Q P^{\top}$. If $...
JEE Main Mathematics Medium
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