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Determinants

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let the system of linear equations $$ \begin{aligned} & x+y+\alpha z=2 \\ & 3 x+y+z=4 \\ & x+2 z=1 \end{aligned} $$ have a unique solution...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The system of equations $$ \begin{aligned} & -k x+3 y-14 z=25 \\ & -15 x+4 y-k z=3 \\ & -4 x+y+3 z=4 \end{aligned} $$ is...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
If the system of linear equations

where $\lambda \in \mathbb{R}$, has no solution, then
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let the system of linear equations $x+2 y+z=2, \alpha x+3 y-z=\alpha,-\alpha x+y+2 z=-\alpha$ be inconsistent. Then $\alpha$ is equal to i
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The ordered pair ( $a, b$ ), for which the system of linear equations $$ \begin{aligned} & 3 x-2 y+z=b \\ & 5 x-8 y+9...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The number of values of a for which the system of equations :
$...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let S be the set of values of $\lambda$, for which the system of equations $$ \begin{aligned} & 6 \lambda x-3 y+3 z=4 \lambda^2 \\...
JEE Main Mathematics Medium
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Q JEE-Main 2023
Let $S$ be the set of all values of $\theta \in[-\pi, \pi]$ for which the system of linear equations $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let for $\mathrm{A}=\left[\begin{array}{lll}1 & 2 & 3 \\ \mathrm{a} & 3 & 1 \\ 1 & 1 & 2\end{array}\right],|\mathrm{A}|=2$. If $|2 \operatorname{adj}(2 \operatorname{adj}(2 \mathrm{~A}))|=32^{\mathrm{n}}$, then...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
If the system of equations
$$ \begin{aligned} & 2 x+y-z=5 \\ & 2 x-5 y+\lambda z=\mu \\ & x+2 y-5 z=7 \end{aligned} $$ has infinitely...
JEE Main Mathematics Easy
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