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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2021
Let $M=\left\{A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right): a, b, c, d \in\{ \pm 3, \pm 2, \pm 1,0\}\right\}$ Difine : $f: M \rightarrow Z$,...
JEE Main Mathematics Medium
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Q JEE MAIN 2021 S2
If $A=\left[\begin{array}{lll}1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1\end{array}\right]$ and $M=A+A^2+A^3+\ldots \ldots+A^{20}$, then the sum of...
JEE Main Mathematics Medium
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Q JEE MAIN 2021 S2
Let $A$ and $B$ be two $3 \times 3$ real matrices such that $\left(A^2-B^2\right)$ is invertible matrix. If $A^5=B^5$ and $A^3 B^2=A^2 B^3$, then the...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If the system of linear equations $$ \begin{aligned} & x-2 y+k z=1 \\ & 2 x+y+z=2 \\ & 3 x-y-k z=3 \end{aligned} $$ has a...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let the numbers 2, $\mathrm{b}, \mathrm{c}$ be in an A.P. and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If the matrix $\mathrm{A}=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 2 & 0 \\ 3 & 0 & -1\end{array}\right]$ satisfies the equation $...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let $A=\left[\begin{array}{cc}1 & 2 \\ -1 & 4\end{array}\right]$. If $A^{-1}=\alpha I+\beta A, \alpha, \beta \in R, I$ is a $2 \times 2$ identity matrix, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If $P=\left[\begin{array}{cc}1 & 0 \\ 1 / 2 & 1\end{array}\right]$, then $P^{50}$ is :
JEE Main Mathematics Medium
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Q JEE MAIN_22-
Let $A=\left[a_i\right]$ be a real matrix of order $3 \times 3$, such that $a_{i 1}+a_{i 2}+a_{i 3}=1$, for $i=1,2,3$. Then, the sum of all the...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
let $A=\left(\begin{array}{ccc}1 & -1 & 0 \\ 0 & 1 & -1 \\ 0 & 0 & 1\end{array}\right)$ and $B=7 A^{20}-20 A^7+2 l$ where $I$...
JEE Main Mathematics Medium
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