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QJEE MAIN 2025
Let $\mathrm{A}=\{-3,-2,-1,0,1,2,3\}$ and R be a relation on A defined by $x \mathrm{Ry}$ if and only if $2 x-y \in\{0,1\}$. Let $l$ be the number...
JEE MainMathematicsHard
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QJEE MAIN 2025
The atomic number of the element from the following with lowest $1^{\text {st }}$ ionisation enthalpy is :
JEE MainChemistryEasy
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QJEE MAIN 2025
A dipeptide, " $x$ " on complete hydrolysis gives " $y$ " and " $z$ ". " $y$ " on treatment with aq. $\mathrm{HNO}_2$ produces...
JEE MainChemistryEasy
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QJEE MAIN 2025
The number of terms of an A.P. is even; the sum of all the odd terms is 24 , the sum of all the even...
JEE MainMathematicsMedium
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QJEE MAIN_2025
Let $\vec{a}$ and $\vec{b}$ be the vectors of the same magnitude such that $\frac{|\vec{a}+\vec{b}|+|\vec{a}-\vec{b}|}{|\vec{a}+\vec{b}|-|\vec{a}-\vec{b}|}=\sqrt{2}+1$. Then $\frac{|\vec{a}+\vec{b}|^2}{|\vec{a}|^2}$ is :
JEE MainPhysicsEasy
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QJEE MAIN 2025
If a curve $y=y(x)$ passes through the point $\left(1, \frac{\pi}{2}\right)$ and satisfies the differential equation $...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let A be a $3 \times 3$ real matrix such that $A^2(A-2 I)-4(A-I)=O$, where I and O are the identity and null matrices, respectively. If...
JEE MainMathematicsMedium
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QJEE MAIN 2025
' X ' is the number of acidic oxides among $\mathrm{VO}_2, \mathrm{~V}_2 \mathrm{O}_3, \mathrm{CrO}_3, \mathrm{~V}_2 \mathrm{O}_5$ and $\mathrm{Mn}_2 \mathrm{O}_7$. The primary valency of cobalt in...
JEE MainChemistryEasy
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QJEE MAIN 2025
The sum $1+\frac{1+3}{2!}+\frac{1+3+5}{3!}+\frac{1+3+5+7}{4!}+\ldots$ upto $\infty$ terms, is equal to
JEE MainMathematicsMedium
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QJEE MAIN 2025
Match List - I with List - II. Choose the correct answer from the options...
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