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QJEE MAIN 2025
If the mean and the variance of 6, 4, a, 8, b, 12,10,13 are 9 and 9.25 respectively, then a + b + ab is...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Let the values of p , for which the shortest distance between the lines $\frac{x+1}{3}=\frac{y}{4}=\frac{z}{5}$ and $\overrightarrow{\mathrm{r}}=(\mathrm{p} \hat{i}+2 \hat{j}+\hat{k})+\lambda(2 \hat{i}+3 \hat{j}+4 \hat{k})$ is $\frac{1}{\sqrt{6}}$, be...
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let $C$ be the circle of minimum area enclosing the ellipse $E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ with eccentricity $\frac{1}{2}$ and foci $( \pm 2,0)$. Let PQR be a...
JEE MainMathematicsMedium
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QJEE MAIN 2025
If an optical medium possesses a relative permeability of $\frac{10}{\pi}$ and relative permittivity of $\frac{1}{0.0885}$, then the velocity of light is greater in vacuum than...
JEE MainPhysicsMedium
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QJEE MAIN_2025
An electron in the hydrogen atom initially in the fourth excited state makes a transition to $n^{\text {th }}$ energy state by emitting a photon...
JEE MainPhysicsMedium
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QJEE MAIN 2025
An electron is released from rest near an infinite non-conducting sheet of uniform charge density ' $-\sigma$. The rate of change of de-Broglie wave length...
JEE MainPhysicsMedium
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QJEE MAIN 2025
The axis of a parabola is the line $y=x$ and its vertex and focus are in the first quadrant at distances $\sqrt{2}$ and $2 \sqrt{2}$...
JEE MainMathematicsMedium
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QJEE MAIN 2025
The correct statement amongst the following is :
JEE MainChemistryEasy
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QJEE MAIN 2025
Let $f$ be a function such that $f(x)+3 f\left(\frac{24}{x}\right)=4 x, x \neq 0$. Then $f(3)+f(8)$ is equal to.
JEE MainMathematicsMedium
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QJEE MAIN 2025
Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then made...
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