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Determinants

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=2(y+2 \sin x-5) x-2 \cos x$ such that $y(0)=7$. Then $\mathrm{y}(\pi)$ is equal to...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
If the system of linear equations $$ \begin{aligned} & 2 x+y-z=3 \\ & x-y-z=\alpha \\ & 3 x+3 y+\beta z=3 \end{aligned} $$ has infinitely many...
JEE Main Mathematics Easy
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Q JEE Main 2021
Let $\theta \in\left(0, \frac{\pi}{2}\right)$. If the system of linear equations $$ \begin{aligned} & \left(1+\cos ^2 \theta\right) x+\sin ^2 \theta y+4 \sin 3 \theta z=0 \\...
JEE Main Mathematics Medium
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Q JEE MAIN 2021 S2
Consider the system of linear equations $$ \begin{aligned} & -x+y+2 z=0 \\ & 3 x-a y+5 z=1 \\ & 2 x-2 y-a z=7 \end{aligned} $$...
JEE Main Mathematics Medium
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Q JEE MAIN_2021_
The values of $a$ and $b$, for which the system of equations $$ \begin{aligned} & 2 x+3 y+6 z=8 \\ & x+2 y+a z=5 \\...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let $...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
For real numbers $\alpha$ and $\beta$, consider the following system of linear equations: $x+y-z=2, x+2 y+\alpha z=1,2 x-y+z=\beta$. If the system has infinite solutions, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Consider the following system of equations : $$ \begin{aligned} & x+2 y-3 z=a \\ & 2 x+6 y-11 z=b \\ & x-2 y+7 z=c \end{aligned}...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The number of distinct real roots of $...
JEE Main Mathematics Medium
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Q JEE MAIN_2021
The values of $\lambda$ and $\mu$ such that the system of equations $x+y+\mid z=6,3 x+5 y+5 z=26, x+2 y+\lambda z=\mu$ has no solution, areai
JEE Main Mathematics Medium
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