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QJEE MAIN_2022
The mean and variance of a binomial distribution are $\alpha$ and $\frac{\alpha}{3}$ respectively. If $P(X=1)=\frac{4}{243}$, then $P(X=4$ or 5) is equal to i
JEE MainMathematicsMedium
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QJEE MAIN 2022
The total number of monobromo derivatives formed by the alkanes with molecular formula $\mathrm{C}_5 \mathrm{H}_{12}$ is (excluding stereo isomers).
JEE MainChemistryEasy
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QJEE MAIN_2022
Let $\vec{a}=\alpha \hat{i}+\hat{j}-\hat{k}$ and $\vec{b}=2 \hat{i}+\hat{j}-\alpha \hat{k}, \alpha>0$. If the projection of $\vec{a} \times \vec{b}$ on the vector $-\hat{i}+2 \hat{j}-2 \hat{k}$ is 30 , then...
JEE MainMathematicsMedium
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QJEE MAIN_2022
The length of the perpendicular from the point (1, –2, 5) on the line passing through (1, 2, 4) and parallel to the line x...
JEE MainMathematicsMedium
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QJEE MAIN 2022
JEE MainChemistryMedium
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QJEE MAIN_2022
Let the tangent drawn to the parabola $\mathrm{y}^2=24 \mathrm{x}$ at the point $(\alpha, \beta)$ is perpendicular to the line $2 \mathrm{x}+2 \mathrm{y}=5$. Then the normal...
JEE MainChemistryEasy
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QJEE MAIN 2022
Optical activity of an enantiomeric mixture is +12.6° and the specific rotation of (+) isomer is +30°. The optical purity is ____%
JEE MainChemistryEasy
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Q_JEE MAIN_2022
A point P moves so that the sum of squares of its distances from the points (1, 2) and (–2, 1) is 14. Let f(x,...
JEE MainMathematicsMedium
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QJEE MAIN_2022
If $\frac{d y}{d x}+2 y \tan x=\sin x, 0
JEE MainMathematicsEasy
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QJEE MAIN 2022
In the titration of $\mathrm{KMnO}_4$ and oxalic acid in acidic medium, the change in oxidation number of carbon at the end point is _____
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