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Determinants

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
The sum of distinct values of λ for which the system of equations (λ – 1)x + (3λ + 1)y + 2λz = 0 (λ...
JEE Main Mathematics Easy
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Q JEE MAIN
The values of $\lambda$ and $\mu$ for which the system of linear equations
$$ \begin{aligned} & x+y+z=2 \\ & x+2 y+3 z=5 \\ & x+3...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let $\lambda \in \mathrm{R}$. The system of linear equations $$ \begin{aligned} & 2 x_1-4 x_2+\lambda x_3=1 \\ & x_1-6 x_2+x_3=2 \\ & \lambda x_1-10 x_2+4...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let $f$ be a differentiable function such that $f(1)=2$ and $f^{\prime}(x)=f(x)$ for all $x \in R$. If $h(x)=f(f(x))$, then $h^{\prime}(1)$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If a curve passes through the point $(1,-2)$ and has slope of the tangent at any point $(x, y)$ on it as $\frac{x^2-2 y}{x}$, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If $A=\left[\begin{array}{ccc}1 & \sin \theta & 1 \\ -\sin \theta & 1 & \sin \theta \\ -1 & -\sin \theta & 1\end{array}\right]$; then for all...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If the system of linear equations
$ \begin{aligned} & x+y+3 z=0 \\ & x+3 y+k^2 z=0 \\ & 3 x+y+3 z=0 \end{aligned} $
...
JEE Main Physics Easy
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Q JEE MAIN 2019
If $y(x)$ is the solution of the differential equation $\frac{d y}{d x}+\left(\frac{2 x+1}{x}\right) y=e^{-2 x}, x>0$ where $y(1)=\frac{1}{2} e^{-2}$ then
JEE Main Physics Medium
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Q JEE MAIN 2020
For which of the following ordered pairs $(\mu, \delta)$, the system of linear equations
$...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If for some $\alpha$ and $\beta$ in R , the intersection of the following three planes
$...
JEE Main Mathematics Medium
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