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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
If the system of linear equations
$...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $A$ be a matrix of order $3 \times 3$ and $\operatorname{det}(A)=2$. Then $\operatorname{det}\left(\operatorname{det}(A)\right.$ adj $\left(5 \operatorname{adj}\left(A^3\right)\right)$ ) is equal to $\_\_\_\_$
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $A=\left[\begin{array}{cc}0 & -2 \\ 2 & 0\end{array}\right]$. If $M$ and $N$ are two matrices given by $M=\sum_{k=1}^{10} A^{2 k}$ and $N=\sum_{k=1}^{10} A^{2 k-1}$ then...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $A$ be $a \times 3$ real matrix such that $...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $S=\{\sqrt{n}: 1 \leq n \leq 50$ and $n$ is odd $\}$
Let $a \in S$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Among the statements $(\mathrm{S} 1):(\mathrm{p} \Rightarrow \mathrm{q}) \vee((\sim \mathrm{p}) \wedge \mathrm{q})$ is a tautology $(S 2):(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$ is a contradiction
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let P be a square matrix such that $\mathrm{P}^2=\mathrm{I}-\mathrm{P}$. For $\alpha, \beta, \gamma, \delta \in \mathrm{N}$, if $\mathrm{P}^\alpha+\mathrm{P}^\beta=\gamma \mathrm{I}-29 \mathrm{P}$ and $\mathrm{P}^\alpha-\mathrm{P}^\beta=\delta \mathrm{I}-$ 13P, then...
JEE Main Mathematics Medium
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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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