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QJEE MAIN 2023
Let $R=\{a, b, c, d, e\}$ and $S=\{1,2,3,4\}$. Total number of onto function $f \mid: R \rightarrow S$ such that $f(a) \neq 1$, is equal...
JEE MainMathematicsMedium
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QJEE MAIN 2024
A and B formed in the following reactions are:
JEE MainChemistryEasy
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QJEE MAIN
Let $P_1$ be the plane $3 x-y-7 z=11$ and $P_2$ be the plane passing through the points $(2,-1,0),(2,0,-1)$, and $(5,1,1)$. If the foot of the...
JEE MainMathematicsHard
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QJEE MAIN 2023
The ordinates of the points $P$ and $Q$ on the parabola with focus $(3,0)$ and directrix $x=-3$ are in the ratio $3: 1$. If $...
JEE MainMathematicsHard
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QJEE MAIN
Let $m$ and $n$ be the numbers of real roots of the quadratic equations $x^2-12 x+[x]+31=0$ and $x^2-5 \mid x+ 2 \mid-4=0$ respectively, where $[x]$...
JEE MainMathematicsMedium
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QJEE MAIN 2023
If domain of the function $\log _e\left(\frac{6 x^2+5 x+1}{2 x-1}\right)+\cos ^{-1}\left(\frac{2 x^2-3 x+4}{3 x-5}\right)$ is $(\alpha, \beta) \cup(\gamma, \delta]$, then $18\left(\alpha^2+\beta^2+\gamma^2\right. +\delta^2$ ) is equal...
JEE MainPhysicsEasy
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QJEE MAIN 2023
Let $[t]$ denote the greatest integer function. If $\int_0^{2.4}\left[X^2\right] d x=\alpha+\beta \sqrt{2}+\gamma \sqrt{3}+\delta \sqrt{5}$, then $\alpha+\beta+\gamma+\delta$ is equal to $\_\_\_\_$ .
JEE MainMathematicsMedium
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QJEE-Main 2023
Let $A=\{1,2,3,4,5,6,7\}$. Then the relation $R=\{(x, y) \in A \times A: x+y=7\}$ is
JEE MainMathematicsEasy
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QJEE-Main 2023
Let $\mathrm{A}(0,1), \mathrm{B}(1,1)$ and $\mathrm{C}(1,0)$ be the mid - points of the sides of a triangle with in Centre at the point D . If...
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