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2023 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-Main 2023
The straight lines $I_1$ and $I_2$ pass through the origin and trisect the line segment of the line L: 9x + 5y = 45 between...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the positive numbers $a_1, a_2, a_3, a_4$ and $a_5$ be in a G.P. Let their mean and variance be $\frac{31}{10}$ and $\frac{\mathrm{m}}{\mathrm{n}}$ respectively, where...
JEE Main Mathematics Hard
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Q JEE MAIN 2023
The number of integral terms in the expansion of $\left(3^{\frac{1}{2}}+5^{\frac{1}{4}}\right)^{680}$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2023
$\max _{0 \leq x \leq \pi}\left\{x-2 \sin x \cos x+\frac{1}{3} \sin 3 x\right\}=$
JEE Main Mathematics Medium
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Q JEE-Main 2023
Let $\vec{a}=2 \hat{i}+3 \hat{j}+4 \hat{k}, \vec{b}=2 \hat{i}-2 \hat{j}-2 \hat{k}$ and $\vec{c}=-\hat{i}+4 \hat{j}+3 \hat{k}$. If $\vec{d}$ is a vector perpendicular to both $\vec{b}$ and $\vec{c}$ and...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
XeF4 reacts with SbF5 to form $\mathrm{XeF}_4$ reacts with $\mathrm{SbF}_5$ to form $\left[\mathrm{XeF}_{\mathrm{m}}\right]^{n+}\left[\mathrm{SbF}_{\mathrm{y}}\right]^{z-}$
JEE Main Chemistry Easy
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Q JEE MAIN 2023
Let a line $I$ pass through the origin and be perpendicular to the lines $\mathrm{I}_1: \overrightarrow{\mathrm{r}}=(\hat{\mathrm{i}}-1 \hat{\mathrm{j}}-7 \hat{\mathrm{k}})+\lambda(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}), \lambda \in \mathbb{R}$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $D_k=\left|\begin{array}{ccc}1 & 2 k & 2 k-1 \\ n & n^2+n+2 & n^2 \\ n & n^2+n & n^2+n+2\end{array}\right|$. If $\sum_{k=1}^n D_k=96$, then| $n$...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
$\int_0^{\infty} \frac{6}{e^{3 x}+6 e^{2 x}+1}$
JEE Main Mathematics Medium
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