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Determinants

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-Main 2024
Let αβγ=45;α,β,γ∈R. If x(α,1,2)+y(1,β,2) +z(2,3,γ)=(0,0,0) for some x,y,z∈R,xyz≠ 0, then 6α+4β+γ is equal to_____.
JEE Main Mathematics Medium
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Q JEE MAIN
Let $\lambda, \mu \in R$. If the system of equations $3 x+5 y+\lambda z=3$ 7x+11y-9z=2 $97 x+155 y-189 z=\mu$ has infinitely many solutions, then $...
JEE Main Mathematics Easy
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Q JEE-Main 2024
For α,β∈R and a natural number n, let
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let λ,μ∈R. If the system of equations 3x+5y+λz=3 7x+11y-9z=2 97x+155y-189z=μ has infinitely many solutions, then μ+2λ is equal to :
JEE Main Mathematics Medium
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Q JEE-Main 2024
$\int_0^{\pi / 4} \frac{\cos ^2 x \sin ^2 x}{\left(\cos ^3 x+\sin ^3 x\right)^2} d x$ is equal to $\_\_\_\_$
JEE Main Mathematics Easy
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Q JEE MAIN 2024N
If the system of equations has infinitely many solutions, then $\lambda^4-\mu$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If the system of equations $$ \begin{aligned} & x+(\sqrt{2} \sin \alpha) y+(\sqrt{2} \cos \alpha) z=0 \\ & \mathrm{x}+(\cos \alpha) \mathrm{y}+(\sin \alpha) \mathrm{z}=0 \\ & \mathrm{x}+(\sin...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Consider the system of linear equation x+y+z= 4μ,x+2y+2λz=10μ,x+3y+4λ^2 z=μ^2+15, where λ,μ∈R. Which one of the following statements is NOT correct?
JEE Main Mathematics Medium
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Q JEE-Main 2024
If the system of equations 2x+3y-z=5 x+αy+3z=-4 3x-y+βz=7 has infinitely many solutions, then 13αβ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If the system of linear equations $$ \begin{aligned} & x-2 y+z=-4 \\ & 2 x+\alpha y+3 z=5 \\ & 3 x-y+\beta z=3 \end{aligned} $$ has...
JEE Main Mathematics Medium
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