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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
Let $f(\mathrm{x})=\mathrm{x}^5+2 \mathrm{e}^{\mathrm{x} / 4}$ for all $\mathrm{x} \in \mathrm{R}$. Consider a function $g(x)$ such that (gof) $(x)=x$ for all $x \in R$. Then the...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
The set of all $\alpha$, for which the vector $\vec{a}=\alpha t \hat{\imath}+6 \hat{\jmath}-3 \hat{k}$ and $\vec{b}=t \hat{\imath}-2 \hat{\jmath}-2 \alpha t \hat{k}$ are inclined at an...
JEE Main Mathematics Easy
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Q JEE MAINS 2024
A coin is placed on a disc. The coefficient of friction between the coin and the disc is μ. If the distance of the coin...
JEE Main Physics Medium
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Q JEE MAIN 2024
If A(1,-1,2),B(5,7,-6),C(3,4,-10) and D(-1,-4,-2) are the vertices of a quadrilateral ABCD, then its area is
JEE Main Mathematics Easy
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Q JEE MAIN
The solution curve, of the differential equation $2 y \frac{d y}{d x}+3=5 \frac{d y}{d x}$ , passing through the point (0,1) is a conic, whose...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
If the domain of the function $\sin ^{-1}\left(\frac{3 x-22}{2 x-19}\right)+\log _e\left(\frac{3 x^2-8 x+5}{x^2-3 x-10}\right)$ is $(\alpha, \beta]$, then $3 \alpha+10 \beta$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAINS 2024
A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct representation of the velocity time...
JEE Main Physics Easy
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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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