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QJEE MAIN 2020
The distance of the point $(1,-2,3)$ from the plane $x-y+z=5$ measured parallel to the line $\frac{x}{2}=\frac{y}{3}=\frac{z}{-6}$ is :
JEE MainMathematicsMedium
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QJEE-MAIN 2020
The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth about the axis passing through...
JEE MainPhysicsEasy
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QJEE MAIN 2020
At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure....
JEE MainPhysicsMedium
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QJEE MAIN 2020
$$ \text { If } A=\left[\begin{array}{cc} \cos \theta & i \sin \theta \\ i \sin \theta & \cos \theta \end{array}\right],\left(\theta=\frac{\pi}{24}\right) \text { and } A^5=\left[\begin{array}{ll}...
JEE MainMathematicsHard
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QJEE-MAIN 2020
A parallel plate capacitor has plate of length ‘$\ell$’, width ‘w’ and separation of plates is ‘d’. It is connected to a battery of emf...
JEE MainPhysicsEasy
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QJEE MAIN 2020
Let $f:(0, \infty) \rightarrow(0, \infty)$ be a dif ferentiable function such that $f(1)=e$ and $\lim _{t \rightarrow x} \frac{t^2 f^2(x)-x^2 f^2(t)}{t-x}=0$ If $f(x)=1$, then $x$...
JEE MainMathematicsMedium
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Q JEE MAIN 2020
The integral $\int\left(\frac{x}{x \sin x+\cos x}\right)^2 d x$ is equal to (where C is a constant of integration):
JEE MainMathematicsHard
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QJEE MAIN 2020
The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4 kg. (The coordinates of the same are...
JEE MainPhysicsEasy
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QJEE-MAIN 2020
In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas is found to...
JEE MainPhysicsEasy
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QJEE MAIN 2020
Let $f(\mathrm{x})=|\mathrm{x}-2|$ and $\mathrm{g}(\mathrm{x})=f(f(\mathrm{x})), \mathrm{x} \in[0,4]$. Then $\int^3(g(x)-f(x)) d x$ is equal to:
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