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QJEE MAINS 2024
Four identical particles of mass $m$ are kept at the four corners of a square. If the gravitational force exerted on one of the masses...
JEE MainPhysicsEasy
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QJEE MAIN 2024
Let λ,μ∈R. If the system of equations
3x+5y+λz=3
7x+11y-9z=2
97x+155y-189z=μ
has infinitely many solutions, then μ+2λ is equal to :
JEE MainMathematicsMedium
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QJEE MAIN
A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of...
JEE MainPhysicsMedium
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QJEE MAIN 2024
Let $f(x)=4 \cos ^3 x+3 \sqrt{3} \cos ^2 x-10$. The number of points of local maxima of $f$ in interval $(0,2 \pi)$ is:
JEE MainMathematicsMedium
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QJEE MAIN 2024
Let $f(x)$ be a positive function such that the area bounded by $y=f(x), y=0$ from $x=0$ to $x=a>0$ is $\mathrm{e}^{-\mathrm{a}}+4 \mathrm{a}^2+\mathrm{a}-1$. Then the differential equation,...
JEE MainMathematicsMedium
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QJEE MAIN 2024
The integral $\int_0^{\frac{\pi}{4}} \frac{136 \sin x}{3 \sin x+5 \cos x} d x$ is equal to :
JEE MainMathematicsEasy
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QJEE MAIN
Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point P is $\frac{\mathrm{X} \sigma}{\epsilon_0}$. The...
JEE MainPhysicsMedium
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QJEE-Main 2024
The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On respectively, it was found that an observation by...
JEE MainMathematicsMedium
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QJEE MAINS 2024
If the wavelength of the first member of Lyman series of hydrogen is λ. The wavelength of the second member will be
JEE MainPhysicsEasy
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QJEE MAIN
If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day...
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