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QJEE MAIN 2020
For a suitably chosen real constant a , let a function, $\mathrm{f}: \mathrm{R}-\{-\mathrm{a}\} \rightarrow \mathrm{R}$ be defined by $f(x)=\frac{a-x}{a+x}$. Further suppose that for any real...
JEE MainMathematicsMedium
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QJEE MAIN 2020
$$
\text { The integral } \int_1^2 e^x \cdot x^x\left(2+\log _e x\right) d x \text { equals : }
$$
JEE MainMathematicsHard
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QJEE MAIN 2020
If $\{p\}$ denotes the fractional part of the number $p$, then $\left\{\frac{3^{200}}{8}\right\}$, is equal to:
JEE MainMathematicsEasy
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QJEE MAIN 2020
The total number of coordination sites in ethylenediaminetetraacetate (EDTA ${ }^{4-}$ ) is
JEE MainChemistryEasy
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Q JEE MAIN 2020
The minimum number of moles of $\mathrm{O}_2$ required for complete combustion of 1 mole of propane and 2 moles of butane is
JEE MainChemistryEasy
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QJEE MAIN 2020
The difference between radii of $3^{\text {rd }}$ and $4^{\text {th }}$ orbits of $\mathrm{Li}^{2+}$ is $\Delta \mathrm{R}_1$. The difference between the radii of $...
JEE MainChemistryEasy
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QJEE MAIN 2020
For all twice differentiable functions f : R → R, with f(0) = f(1) = f′(0) = 0,
JEE MainMathematicsHard
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Q JEE MAIN 2020
A diatomic molecule $X_2$ has a body-centred cubic (bcc) structure with a cell edge of 300 pm . The density of the molecule is $...
JEE MainChemistryEasy
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QJEE MAIN 2020
A ray of light coming from the point $(2,2 \sqrt{3})$ is incident at an angle $30^{\circ}$ on the line $x=1$ at the point A. The...
JEE MainMathematicsHard
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QJEE MAIN 2020
Consider the following reaction : $\mathrm{N}_2 \mathrm{O}_4(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_2(\mathrm{~g}) ; \Delta \mathrm{H}^0=+58 \mathrm{~kJ}$ For each of the following cases (a, b), the direction in...
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