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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
Let f(x)=x^5+2x^3+3x+1,x∈R, and g(x) be a function such that g(f(x))=x for all x∈R. Then (g(7))/(g^' (7)) is equal to :
JEE Main Mathematics Medium
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Q JEE-Main 2024
Let the relations $R_1$ and $R_2$ on the set X={1,2,3,…,20} be given by $R_1$={(x,y):2x-3y=2} and $R_2$={(x,y):-5x+4y=0}. If M and N be the minimum number of...
JEE Main Mathematics Hard
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Q JEE MAIN
The parabola $y^2=4 x$ divides the area of the circle $x^2+y^2=5$ in two parts. The area of the smaller part is equal to :
JEE Main Mathematics Easy
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Q JEE MAINS 2024
The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open...
JEE Main Physics Medium
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Q JEE MAIN 2024
A square is inscribed in the circle $x^2+y^2-10 x-6 y+30=0$. One side of this square is parallel to $y= x+3$. If $\left(x_i, y_i\right)$ are the...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If the set $\mathrm{R}=\{(\mathrm{a}, \mathrm{b}) ; \mathrm{a}+5 \mathrm{~b}=42, \mathrm{a}, \mathrm{b} \in \mathbb{N}\}$ has $m$ elements and $\sum_{n=1}^m\left(1+i^{n!}\right)=x+i y$, where $\mathrm{I}=\sqrt{-1}$, then the value of $m+x+y$...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If 1/(√1+√2)+1/(√2+√3)+⋯+1/(√99+√100)=m and 1/(1⋅2)+1/(2⋅3)+⋯+1/(99⋅100)=n, then the point (m,n) lies on the line
JEE Main Mathematics Easy
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Q JEE-Main 2024
Let, $\alpha, \beta$ be the distinct roots of the equation $\mathrm{x}^2-\left(\mathrm{t}^2-5 \mathrm{t}+6\right) \mathrm{x}+1=0, \mathrm{t} \in \mathrm{R}$ and $\mathrm{a}_{\mathrm{n}}=\alpha^{\mathrm{n}}+\beta^{\mathrm{n}}$ Then the minimum value of $\frac{a_{2023}+a_{2025}}{a_{2024}}$ is...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $z$ be a complex number such that $|z+2|=1$ and $\operatorname{lm}\left(\frac{z+1}{z+2}\right)=\frac{1}{5}$. Then the value of $|\operatorname{Re}(\overline{z+2})|$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let the point, on the line passing through the points $\mathrm{P}(1,-2,3)$ and $\mathrm{Q}(5,-4,7)$, farther from the origin and at a distance of 9 units from...
JEE Main Mathematics Easy
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