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QJEE MAIN_2021_
If $\int \frac{2 e^x+3 e^{-x}}{4 e^x+7 e^{-x}} d x=\frac{1}{14}\left(u x+v \log _e\left(4 e^x+7 e^{-x}\right)\right)+C$, where $C$ is a constant of integration, then $u+v$ is equal...
JEE MainMathematicsMedium
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QJEE MAIN 2021
Match List-I with List-II
JEE MainChemistryEasy
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QJEE MAIN 2021
The oxide that gives $\mathrm{H}_2 \mathrm{O}_2$ most readily on treatment with $\mathrm{H}_2 \mathrm{O}$ is
JEE MainChemistryEasy
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QJEE MAIN 2021
The conversion of hydroxyapatite occurs due to presence of F– ions in water. The correct formula of hydroxyapatite is:
JEE MainChemistryEasy
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QJEE Main 2021
Let $A$ and $B$ be independent events such that $P(A)=p, P(B)=2 p$. The largest value of $p$, for which $P$ (exactly one of $A, B$...
JEE MainMathematicsMedium
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QJEE MAIN 2021
Which one of the following chemicals is responsible for the production of HCl in the stomach leading to irritation and pain?
JEE MainChemistryEasy
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QJEE Main 2021
Let $y=y(x)$ be a solution curve of the differential equation $(y+1) \tan ^2 x d x+\tan x d y+y d x=0, x \in\left(0, \frac{\pi}{2}\right)$. If...
JEE MainMathematicsHard
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QJEE MAIN 2021
The compound/s which will show significant intermolecular H–bonding is/are
JEE MainChemistryEasy
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QJEE Main 2021
On the ellipse $\frac{x^2}{8}+\frac{y^2}{4}=1$ let $P$ be a point in the second quadrant such that the tangent at $P$ to the ellipse is perpendicular to...
JEE MainMathematicsMedium
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QJEE Main 2021
The mean and standard deviation of 20 observations were calculated as 10 and 2.5 respectively. It was found that by mistake one data value was...
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