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2023 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
If $\operatorname{gcd}(m, n)=1$ and $1^2-2^2+3^2-4^2+\ldots \ldots+(2021)^2-(2022)^2+(2023)^2=1012 m^2 n$, then $m^2-n^2$ is equal to
JEE Main Mathematics Hard
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Q JEE MAIN 2023
Let $S=\left\{Z \in C: \bar{z}=i\left(z^2+\operatorname{Re}(\bar{z})\right)\right\}$. Then $\sum_{z \in S}|z|^2$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the vectors $\vec{a}, \vec{b}, \vec{c}$ represent three coterminous edges of a parallelopiped of volume $V$. Then the volume of the parallelopiped, whose coterminous edges...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let for $\mathrm{A}=\left[\begin{array}{lll}1 & 2 & 3 \\ \mathrm{a} & 3 & 1 \\ 1 & 1 & 2\end{array}\right],|\mathrm{A}|=2$. If $|2 \operatorname{adj}(2 \operatorname{adj}(2 \mathrm{~A}))|=32^{\mathrm{n}}$, then...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
The random valuable X follows binomial distribution B(n, p) for which the difference of the mean and the variance is 1. If 2P(X = 2)...
JEE Main Mathematics Medium
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Q JEE-Main 2023
The absolute difference of the coefficients of $x^{10}$ and $x^7$ in the expansion of $\left\{2 x^2+\frac{1}{2 x}\right\}^{11}$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2023
If the tangents at the points P and Q on the circle x2 + y2 – 2x + y = 5 meet at the point...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The statement (p ∧(~ q)∨ ((~ p)∧q)∨((~ p)∧(~ q)) is equivalent to
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Among the statements $(\mathrm{S} 1):(\mathrm{p} \Rightarrow \mathrm{q}) \vee((\sim \mathrm{p}) \wedge \mathrm{q})$ is a tautology $(S 2):(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$ is a contradiction
JEE Main Mathematics Easy
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Q JEE MAIN 2023
The range of $f(x)=4 \sin ^{-1}\left(\frac{x^2}{x^2+1}\right)$
JEE Main Mathematics Easy
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