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2023 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
If the coefficients of $x^7$ in $\left(a x^2+\frac{1}{2 b x}\right)^{11}$ and $x^{-7}$ in $\left(a x-\frac{1}{3 b x^2}\right)^{11}$ are equal, then
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let $f(x)$ be a function satisfying $f(x)+f(\pi-x)=\pi^2, \forall x \in R$. Then $\int^\pi f(x) \sin x d x$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2023
All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let $S=\left\{x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right): 9^{1-\tan ^2 x}+9^{\tan ^2 x}=10\right\}$ and $\beta=\sum_{x \in s} \tan ^2\left(\frac{x}{3}\right)$, then $\frac{1}{6}(\beta-14)^2$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let the centre of a circle C be (α, β) and its radius r < 8. Let 3x + 4y = 24 and 3x –...
JEE Main Mathematics Medium
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Q JEE-Main 2023
Let A $=\left\{\theta \in(0,2 \pi): \frac{1+2 i \sin \theta}{1-i \sin \theta}\right.$ is purely imaginary $\}$. Then the sum of the elements in A is
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the line L pass through the point $(0,1,2)$, intersect the line $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and be parallel to the plane $2 x+y-3 z=4$. Then the distance...
JEE Main Mathematics Hard
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Q JEE MAIN 2023
Let N be the foot of perpendicular from the point P(1, –2, 3) on the line passing through the points (4, 5, 8) and (1,...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
If the points $P$ and $Q$ are respectively the circumcentre and the orthocentre of a $\triangle A B C$, then $\overrightarrow{\mathrm{PA}}+\overrightarrow{\mathrm{PB}}+\overrightarrow{\mathrm{PC}}$ is equal to
JEE Main Mathematics Easy
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