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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2019
The set of all values of $\lambda$ for which the system of linear equations $$ \begin{aligned} & x-2 y-2 z=\lambda x ; \quad x+2 y+z=\lambda...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The expression $\sim(\sim p \rightarrow q)$ is logically equivalent to
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The negation of the Boolean expression $p \vee(\sim p \wedge q)$ is equivalent to
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let $\theta=\frac{\pi}{5}$ and $\mathrm{A}=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$. If $\mathrm{B}=\mathrm{A}+\mathrm{A}^4$, then $\operatorname{det}(\mathrm{B})$ :
JEE Main Mathematics Medium
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Q JEE MAIN 2019
lf $$ A=\left[\begin{array}{ccc} e^t & e^{-t} & e^{-t} \sin t \\ e^t & -e^t \cos t-e^{-t} \sin t & -e^{-t} \sin t+e^{-t} \cos t \\...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The numer of all $3 \times 3$ matrices A , with enteries from the set $\{-1,0,1)$ such that the sum of the diagonal elements of...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let $A=\left(\begin{array}{ccc}0 & 2 q & r \\ p & q & -r \\ p & -q & r\end{array}\right)$. If $A A^{\top}=\mid 3$, then $|p|$...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If the system of linear equations $$ \begin{aligned} & 2 x+2 y+3 z=a \\ & 3 x-y+5 z=b \\ & x-3 y+2 z=c \end{aligned} $$...
JEE Main Mathematics Easy
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Q JEE Main 2019
https://competishun.com/let-f-r-rightarrow-r-be-a-function-such-that-fxx3x2-fprime1x-fprime-prime2fprime-prime-prime3-x-in-r-then-f2-equals/

has infinitely many solutions, then $\beta-\alpha$ equals
JEE Main Mathematics Medium
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Q JEE MAIN 2020
$$ \text { If } A=\left[\begin{array}{cc} \cos \theta & i \sin \theta \\ i \sin \theta & \cos \theta \end{array}\right],\left(\theta=\frac{\pi}{24}\right) \text { and } A^5=\left[\begin{array}{ll}...
JEE Main Mathematics Hard
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