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JEE MAIN 2020
08-01-20 S1
Question
The numer of all $3 \times 3$ matrices A , with enteries from the set $\{-1,0,1)$ such that the sum of the diagonal elements of $\mathrm{AA}^{\top}$ is 3 , is $\_\_\_\_$ _
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Showing 18 questions
QJEE Main 20242024
Let z be a complex number such that the real part of $\frac{z-2 i}{z+2 i}$ is zero. Then, the maximum...
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Let $\int_0^x \sqrt{1-\left(y^{\prime}(t)\right)^2} \mathrm{dt}=\int_0^{\mathrm{x}} \mathrm{y}(\mathrm{t}) \mathrm{dt}, 0 \leq \mathrm{x} \leq 3, \mathrm{y} \geq 0, y(0)=0$. Then at $x=2, y^{\prime \prime}+y+1$...
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QJEE Main 20242024
Consider the line L passing through the points $(1,2,3)$ and $(2,3,5)$. The distance of the point $\left(\frac{11}{3}, \frac{11}{3}, \frac{19}{3}\right)$ from...
JEE MainMathematicsEasy
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QJEE Main 20242024
$\operatorname{Lim}_{x \rightarrow 0} \frac{e-(1+2 x)^{\frac{1}{2 x}}}{x}$ is equal to :
JEE MainMathematicsEasy
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QJEE Main 20242024
When $\Delta \mathrm{H}_{\text {vap }}=30 \mathrm{~kJ} / \mathrm{mol}$ and $\Delta \mathrm{S}_{\text {vap }}=75 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}$, then the temperature of...
JEE MainChemistryEasy
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QJEE Main 20242024
Total number of electron present in $\left(\pi^*\right)$ molecular orbitals of $\mathrm{O}_2, \mathrm{O}_2^{+}$and $\mathrm{O}_2^{-}$is $\_\_\_\_$ .
JEE MainPhysicsEasy
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QJEE Main 20242024
Number of compounds from the following which cannot undergo Friedel-Crafts reactions is :____ toluene, nitrobenzene, xylene, cumene, aniline, chlorobenzene, m-nitroaniline,...
JEE MainPhysicsEasy
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QJEE Main 20242024
Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus...
JEE MainChemistryEasy
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QJEE Main 20242024
Consider the following first order gas phase reaction at constant temperature
$ \mathrm{A}(\mathrm{~g}) \rightarrow 2 \mathrm{~B}(\mathrm{~g})+\mathrm{C}(\mathrm{~g}) $
If...
JEE MainChemistryEasy
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QJEE Main 20242024
Consider the following test for a group-IV cation.
$\mathrm{M}^{2+}+\mathrm{H}_2 \mathrm{~S} \rightarrow \mathrm{~A}$ (Black precipitate) + byproduct $\mathrm{A}+$ aqua regia...
JEE MainChemistryEasy
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QJEE Main 20242024
The vapour pressure of pure benzene and methyl benzene at $27^{\circ} \mathrm{C}$ is given as 80 Torr and 24 Torr...
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QJEE Main 20242024
A transition metal 'M' among Sc, Ti, V , Cr, Mn and Fe has the highest second ionisation enthalpy. The...
JEE MainPhysicsEasy
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QJEE Main 20242024
Number of oxygen atoms present in chemical formula of fuming sulphuric acid is
JEE MainPhysicsEasy
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QJEE Main 20242024
The electronic configuration of Einsteinium is : (Given atomic number of Einsteinium = 99)
JEE MainPhysicsEasy
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QJEE Main 20242024
Which out of the following is a correct equation to show change in molar conductivity with respect to concentration for...
JEE MainChemistryEasy
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Which of the following compounds will give silver mirror with ammoniacal silver nitrate?
(A) Formic acid
(B) Formaldehyde...
JEE MainChemistryEasy
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QJEE Main 20242024
The incorrect statement regarding ethyne is
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QJEE Main 20242024
Given below are two statements :
Statement I : The higher oxidation states are more stable down the group...
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