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Determinants

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-MAIN 2020
Let S be the set of all integer solutions, (x, y, z), of the system of equations
$$ \begin{aligned} & x-2 y+5 z=0 \\ &...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The integral $\int_{\pi / 6}^{\pi / 4} \frac{d x}{\sin 2 x\left(\tan ^5 \times \cot ^5 x\right)}$ equals :
JEE Main Mathematics Hard
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Q JEE MAIN 2019
If $...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The system of linear equations
$...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the system of linear equations
2x + 2ay + az = 0
2x + 3by + bz = 0
2x +...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If the following system of linear equations
$...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
Let $f$ be a differentiable function such tht $f^{\prime}(x)=7-\frac{3 f(x)}{4 x},(x>0)$ and $f(1) \neq 4$. Then $\lim _{x \rightarrow 0^{+}} x f\left(\frac{1}{x}\right)$
JEE Main Mathematics Hard
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Q JEE MAIN 2019
Let $A=\left[\begin{array}{ccc}2 & b & 1 \\ b & b^2+1 & b \\ 1 & b & 2\end{array}\right]$ where $b>0$. Then find minimum value of...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let $a_1, a_2, a_3 \ldots a_{10}$ in G.P with $a_i>0$ for $i=1,2, \ldots \ldots, 10$ and $S$ be the set of pairs $...
JEE Main Physics Medium
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Q JEE Main 2021
If $\alpha+\beta+\gamma=2 \pi$, then the system of equations $$ \begin{aligned} & x+(\cos \gamma) y+(\cos \beta) z=0 \\ & (\cos \gamma) x+y+(\cos \alpha) z=0 \\ &...
JEE Main Mathematics Medium
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