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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAINS 2024
A particle performs simple harmonic motion with amplitude A. Its speed is increased to three times at an instant when its displacement is $\frac{2 \mathrm{~A}}{3}$....
JEE Main Physics Easy
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Q JEE-Main 2024
Let αβγ=45;α,β,γ∈R. If x(α,1,2)+y(1,β,2) +z(2,3,γ)=(0,0,0) for some x,y,z∈R,xyz≠ 0, then 6α+4β+γ is equal to_____.
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $a_1, a_2, a_3, \ldots$ be in an arithmetic progression of positive terms. Let $A_k=a_1{ }^2-a_2{ }^2+a_3{ }^2-a_4{ }^2+\cdots+a_{2 k-1}{ }^2-a_{2 k}{ }^2$. If $...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let the length of the focal chord $P Q$ of the parabola $\mathrm{y}^2=12 \mathrm{x}$ be 15 units. If the distance of PQ from the origin...
JEE Main Mathematics Medium
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Q JEE MAIN
If the sum of series $\frac{1}{1 \cdot(1+d)}+\frac{1}{(1+d)(1+2 d)}+\cdots \ldots+\frac{1}{(1+9 d)(1+10 d)}$ is equal to 5 , then 50 d is equal to :
JEE Main Mathematics Easy
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Q JEE MAINS 2024
The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by 0.02% is m.
JEE Main Physics Medium
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Q JEE MAIN 2024
Let $f$ be a differentiable function in the interval $(0, \infty)$ such that $f(1)=1$ and $\lim _{t \rightarrow x} \frac{t^2 f(x)-x^2 f(t)}{t-x}=1$ for each $x>0$....
JEE Main Mathematics Medium
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Q JEE-Main 2024
Let $\mathrm{f}:(-\infty, \infty)-\{0\} \rightarrow \mathrm{R}$ be a differentiable function such that $f^{\prime}(1)=\lim _{a \rightarrow \infty} a^2 f\left(\frac{1}{a}\right)$. Then $...
JEE Main Mathematics Hard
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Q JEE MAIN
If the domain of the function $f(x)=\sin ^{-1}\left(\frac{x-1}{2 x+3}\right)$ is $R-(\alpha, \beta)$ then $12 \alpha \beta$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAINS 2024
A small square loop of wire of side $\ell$ is placed inside a large square loop of wire of side $L\left(L=\ell^2\right)$. The loops are coplanar...
JEE Main Physics Medium
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