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QJEE MAIN 2021
Let $a, b, c, d$ be in arithmetic progression with common difference $\lambda$. If $...
JEE MainMathematicsEasy
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QJEE-MAIN 2021
If $1, \log _{10}\left(4^x-2\right)$ and $\log _{10}\left(4^x+\frac{18}{5}\right)$ are in arithmetic progression for a real number $x$, then the value of the determinant $...
JEE MainMathematicsEasy
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QJEE MAIN 2021
The following system of linear equations 2x + 3y + 2z = 9 3x + 2y + 2z = 9 x – y + 4z...
JEE MainMathematicsEasy
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QJEE-MAIN 2021
If $x, y, z$ are in arithmetic progression with common difference $d, x 3 d$, and the determinant of the matrix $...
JEE MainMathematicsEasy
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QJEE MAIN_2021_1
IF A is
JEE MainMathematicsMedium
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QJEE MAIN 2021
Let the system of linear equations $...
JEE MainMathematicsMedium
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QJEE MAIN 2021
The value of $k \in R$, for which the following system of linear equations $$ \begin{aligned} & 3 x-y+4 z=3 \\ & x+2 y-3 z=-2...
JEE MainMathematicsEasy
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QJEE MAIN 2021
Let $A$ be a $3 \times 3$ matrix with $\operatorname{det}(A)=4$. Let $R_i$ denote the ith row of $A$. If a matrix $B$ is obtained by...
JEE MainMathematicsEasy
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QJEE MAIN 2021
The maximum value of $$ f(x)=\left|\begin{array}{ccc} \sin ^2 & 1+\cos ^2 x & \cos 2 x \\ 1+\sin ^2 x & \cos ^2 x &...
JEE MainMathematicsEasy
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QJEE MAIN_2021
The system of equations $\mathrm{kx}+\mathrm{y}+\mathrm{z}=1, \mathrm{x}+\mathrm{ky}+\mathrm{z} =k$ and $x+y+z k=k^2$ has no solution if $k$ is equal to i
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