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Determinants

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
Let $\alpha, \beta, \gamma$ be the real roots of the equation, $\mathrm{x}^2+\mathrm{ax}^2 +b x+c=0,(a, b, c \in R$ and $a, b \neq 0)$, If the...
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Q JEE MAIN 2021
The solutions of the equation
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Q JEE MAIN 2021
The value of $$ \left|\begin{array}{lll} (a+1)(a+2) & a+2 & 1 \\ (a+2)(a+3) & a+3 & 1 \\ (a+3)(a+4) & a+4 & 1 \end{array}\right| $$ is
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Q JEE MAIN 2021
The system of linear equations
3x – 2y – kz = 10
2x – 4y – 2z = 6
x + 2y – z =...
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Q JEE MAIN 2021
If the system of equations
kx + y + 2z = 1
3x – y – 2z = 2
–2x – 2y...
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Q JEE MAIN_2022
If the system of linear equations. $$ \begin{aligned} & 8 x+y+4 z=-2 \\ & x+y+z=0 \\ & \lambda x-3 y=\mu \end{aligned} $$ has infinitely many...
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Q JEE MAIN 2022
The number of $\theta \in(0,4 \pi)$ for which the system of linear equations
$...
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Q MEMORY BASED QUESTION 2026
If $A=\left[\begin{array}{ll}\alpha & 2 \\ 1 & 2\end{array}\right], B=\left[\begin{array}{ll}1 & 1 \\ \beta & 1\end{array}\right]$ and $A^2-4 A+2 I=0 ; B^2-2 B+I=0$, then $\left|\operatorname{adj}\left(A^3-B^3\right)\right|$ is...
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Q JEE MAIN 2022
Let $f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^2 & a x & a\end{array}\right|, a \in R$. Then...
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Q JEE MAIN 2022
If the system of equations $\alpha x+y+z=5, x+2 y+3 z=4, x+3 y+5 z=\beta$, has infinitely many solutions, then the ordered pair $(\alpha, \beta)$ is equal...
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