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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN
Let $\int \frac{2-\tan x}{3+\tan x} d x=\frac{1}{2}\left(\alpha x+\log _e|\beta \sin x+\gamma \cos x|\right)+C$, where C is the constant of integration. Then $\alpha+\frac{\gamma}{\beta}$ is equal to...
JEE Main Mathematics Medium
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Q JEE MAINS 2024
A parallel plate capacitor with plate separation 5 mm is charged up by a battery. It is found that on introducing a dielectric sheet of...
JEE Main Physics Medium
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Q JEE-Main 2024
Let $\mathrm{y}=\mathrm{y}(\mathrm{x})$ be the solution of the differential equation $\left(1+x^2\right) \frac{d y}{d x}+y=e^{\tan ^{-1} x}, \mathrm{y}(1)=0$. Then $\mathrm{y}(0)$ is $\_\_\_\_$ .
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables X and Y respectively denote...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let the solution $y=y(x)$ of the differential equation $\frac{d y}{d x}-y=1+4 \sin x$ satisfy $y(\pi)=1$. Then $y\left(\frac{\pi}{2}\right)+$ 10 is equal to □
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If the constant term in the expansion of (1+2x-3x^3 ) (3/2 x^2-1/3x)^9 is p, then 108p is equal to
JEE Main Mathematics Easy
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Q JEE MAINS 2024
An electron moves through a uniform magnetic field B ⃗=B_0 i ˆ+2B_0 j ˆT. At a particular instant of time, the velocity of electron is...
JEE Main Physics Medium
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Q JEE MAIN 2024
If the orthocentre of the triangle formed by the lines 2x+3y-1=0,x+2y-1=0 and ax + by -1=0, is the centroid of another triangle, whose circumecentre and...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most 130 students studied Mathematics;...
JEE Main Mathematics Hard
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Q JEE MAIN
The coefficient of $x^{70}$ in $x^2(1+x)^{98}+x^3(1+x)^{97}+\mathrm{x}^4(1+\mathrm{x})^{96}++x^{54}(1+x)^{46}$ is ${ }^{99} \mathrm{C}_{\mathrm{p}}-{ }^{46} \mathrm{C}_{\mathrm{q}}$. Then a possible value to p+q is :
JEE Main Mathematics Medium
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