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QJEE MAIN 2024
Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=\frac{(\tan x)+y}{\sin x(\sec x-\sin x \tan x)}, \mathrm{x} \in\left(0, \frac{\pi}{2}\right)$ satisfying the condition $\mathrm{y}\left(\frac{\pi}{4}\right)=2$....
JEE MainMathematicsHard
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QJEE MAIN 2024
A body travels 102.5 m in $\mathrm{n}^{\text {th }}$ second and 115.0 m in $(\mathrm{n}+2)^{\text {th }}$ second. The acceleration is
JEE MainPhysicsMedium
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QJEE-Main 2024
If the system of equations
2x+3y-z=5
x+αy+3z=-4
3x-y+βz=7
has infinitely many solutions, then 13αβ is equal to
JEE MainMathematicsMedium
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QJEE MAIN 2024
In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of:
JEE MainPhysicsMedium
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QJEE MAIN
Suppose
$f(x)=\frac{\left(2^x+2^{-x}\right) \tan x \sqrt{\tan ^{-1}\left(x^2-x+1\right)}}{\left(7 x^2+3 x+1\right)^3}$
Then the value of f^' (0) is equal to
JEE MainMathematicsEasy
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QJEE MAIN
A simple pendulum of length 1" " m has a wooden bob of mass 1" " kg. It is struck by a bullet of mass...
JEE MainPhysicsHard
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QJEE-Main 2024
Let f:R→R and g:R→R be defined as $$f(x)=\left\{\begin{array}{lll} \log _e x & , & x>0 \\ e^{-x} & , & x \leq 0 \end{array}\right. \text...
JEE MainMathematicsMedium
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QJEE MAIN 2024
The equation of stationary wave is :
Which of the following is NOT correct
JEE MainPhysicsMedium
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QJEE MAIN 2024
The angle between vector Q ⃗ and the resultant of (2Q ⃗+2P ⃗) and (2Q ⃗-2P ⃗) is:
JEE MainPhysicsMedium
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QJEE MAIN
If the value of the integral
$\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{x^2 \cos x}{1+\pi^x}+\frac{1+\sin ^2 x}{1+e^{\sin x^{2023}}}\right) d x=\frac{\pi}{4}(\pi+a)-2$
then the value of a is
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