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QJEE MAIN 2025
Let $\overrightarrow {\rm{a}} = \hat i + 2\hat j + \hat k$ and $\overrightarrow {\bf{b}} = 2\hat i + 7\hat j + 3\hat k$ ....
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let $\overrightarrow {\rm{a}} = 2\hat i - \hat j + 3\hat k,\overrightarrow {\;{\rm{b}}} = 3\hat i - 5\hat j + \hat k$ and $...
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let $A = \left[ {{a_{ij}}} \right] = \left[ {\begin{array}{*{20}{c}} {{{\log }_5}128}&{{{\log }_4}5}\\ {{{\log }_5}8}&{{{\log }_4}25} \end{array}} \right]$. If ${A_{ij}}$ is the cofactor of $...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let ${x_1},{x_2}, \ldots .,{x_{10}}$ be ten observations such that $...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let ABC be a triangle formed by the lines $7x - 6y + 3 = 0,x + 2y - 31 = 0$ and $...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Two parabolas have the same focus (4, 3) and their directrices are the x-axis and the y-axis, respectively. If these parabolas intersects at the points...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let $\left| {{z_1} - 8 - 2i} \right| \le 1$ and $\left| {{z_2} - 2 + 6i} \right| \le 2,{z_1},{z_2} \in {\bf{C}}$. Then the minimum...
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let M and N respectively be the maximum and the minimum values of $...
JEE MainMathematicsEasy
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QJEE MAIN 2025
The value of $\mathop {\lim }\limits_{n \to \infty } \left( {\sum\limits_{k = 1}^n {\frac{{{k^3} + 6{k^2} + 11k + 5}}{{(k + 3)!}}}} \right)$ is:
JEE MainMathematicsMedium
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QJEE MAIN 2025
Consider an A. P. of positive integers, whose sum of the first three terms is 54 and the sum of the first twenty terms lies...
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