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QJEE MAIN 2022
If the absolute maximum value of the function $f(x)=\left(x^2-2 x+7\right) e^{\left(4 x^3-12 x^2-180 x+31\right)}$ in the interval $[-3,0]$ is $f(\alpha)$, then:
JEE MainMathematicsHard
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QJEE MAIN 2022
Consider, $\mathrm{PF}_5, \mathrm{BrF}_5, \mathrm{PCl}_3, \mathrm{SF}_6,\left[\mathrm{ICl}_4\right]^{-}, \mathrm{ClF}_3$ and $\mathrm{IF}_5$.
Amongst the above molecule(s)/ion(s), the number of molecule(s)/ion(s) having $\mathrm{sp}^3 \mathrm{~d}^2$ hybridisation is
$\_\_\_\_$ .
JEE MainChemistryEasy
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QJEE MAIN 2022
Given below are two statements: Statement I : The chlorides of Be and Al have Cl-bridged structure. Both are soluble in organic solvents and act...
JEE MainChemistryEasy
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QJEE MAIN 2022
" All resistances in figure are "1Omega" each. The value of current ' "l" ' is "(a)/(5)A". The value of "a" is "
JEE MainPhysicsHard
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QJEE MAIN 2022
If $\lim _{n \rightarrow \infty}\left(\sqrt{n^2-n-1}+n \alpha+\beta\right)=0$ then $8(\alpha+\beta)$ is equal to :
JEE MainMathematicsEasy
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QJEE MAIN 2022
The number of $\theta \in(0,4 \pi)$ for which the system of linear equations $...
JEE MainMathematicsEasy
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QJEE MAIN 2022
Given below are two statements: Statement I : Hydrogen peroxide can act as an oxidizing agent in both acidic and basic conditions. Statement II: Density...
JEE MainChemistryEasy
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QJEE MAIN 2022
A 10 g mixture of hydrogen and helium is contained in a vessel of capacity $0.0125 \mathrm{~m}^3$ at 6 bar and $27^{\circ} \mathrm{C}$. The mass...
JEE MainChemistryEasy
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QJEE MAIN 2022
While performing a thermodynamics experiment, a student made the following observations, $...
JEE MainChemistryMedium
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QJEE MAIN 2022
For $\mathrm{n} \in \mathrm{N}$, let $\mathrm{S}_{\mathrm{n}}=\left\{\mathrm{z} \in \mathrm{C}:|\mathrm{z}-3+2 \mathrm{i}|=\frac{\mathrm{n}}{4}\right\}$ and $\mathrm{T}_{\mathrm{n}}=\left\{\mathrm{z} \in \mathrm{C}:|\mathrm{z}-2+3 \mathrm{i}|=\frac{1}{4}\right\}$. Then the number of elements in the set $...
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