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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAINS 2024
When a metal surface is illuminated by light of wavelength λ, the stopping potential is 8" " V. When the same surface is illuminated by...
JEE Main Physics Medium
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Q JEE MAIN 2024
From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable X...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let $A=\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right]$. If the sum of the diagonal elements of $A^{13}$ is $3^n$, then $n$ is equal to
JEE Main Mathematics Medium
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Q JEE-Main
A circle in inscribed in an equilateral triangle of side of length 12. If the area and perimeter of any square inscribed in this circle...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If $\lim _{x \rightarrow 1} \frac{(5 x+1)^{1 / 3}-(x+5)^{1 / 3}}{(2 x+3)^{1 / 2}-(x+4)^{1 / 2}}=\frac{m \sqrt{5}}{n(2 n)^{2 / 3}}$, where $\operatorname{gcd}(m, n)=1$, then $...
JEE Main Mathematics Easy
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Q JEE MAIN
Let $\lambda, \mu \in R$. If the system of equations $3 x+5 y+\lambda z=3$ 7x+11y-9z=2 $97 x+155 y-189 z=\mu$ has infinitely many solutions, then $...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If the line (2-x)/3=(3y-2)/(4λ+1)=4-z makes a right angle with the line (x+3)/3μ=(1-2y)/6=(5-z)/7, then 4λ+9μ is equal to :
JEE Main Mathematics Easy
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Q JEE MAINS 2024
An artillery piece of mass M_1 fires a shell of mass M_2 horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery...
JEE Main Physics Easy
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Q JEE MAIN 2024
Let $\mathrm{H}: \frac{-\mathrm{x}^2}{\mathrm{a}^2}+\frac{\mathrm{y}^2}{\mathrm{~b}^2}=1$ be the hyperbola, whose eccentricity is $\sqrt{3}$ and the length of the latus rectum is $4 \sqrt{3}$. Suppose the point $...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $\alpha \in(0, \infty)$ and $A=\left[\begin{array}{lll}1 & 2 & \alpha \\ 1 & 0 & 1 \\ 0 & 1 & 2\end{array}\right]$. If $...
JEE Main Mathematics Hard
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