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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
Let *, □ $\in\{\wedge, \vee\}$ be such that the Boolean expression $\left(\mathrm{p}^* \sim q\right) \Rightarrow(\mathrm{p}$ □ q) is a tautology. Then:
JEE Main Mathematics Medium
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Q JEE Main 2021
The domain of the function $f(x)=\sin ^{-1}\left(\frac{3 x^2+x-1}{(x-1)^2}\right)+\cos ^{-1}\left(\frac{x-1}{x+1}\right)$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2021
A wire of length 20 m is to be cut into two pieces. One of the pieces is to be made into a square and...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If $\int_6^{16} \frac{\log _e x^2}{\log _e x^2+\log _e\left(x^2-44 x+484\right)} d x$ is equal to :
JEE Main Mathematics Easy
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Q JEE Main 2021
Let $\vec{a}, \vec{b}, \vec{c}$ be three vectors mutually perpendicular to each other and have same magnitude. If a vector $\vec{r}$ satisfies. $...
JEE Main Mathematics Medium
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Q JEE Main 2021
If $\alpha+\beta+\gamma=2 \pi$, then the system of equations $$ \begin{aligned} & x+(\cos \gamma) y+(\cos \beta) z=0 \\ & (\cos \gamma) x+y+(\cos \alpha) z=0 \\ &...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If $x^2+9 y^2-4 x+3=0, x, y \in \mathbb{R}$, then $x$ and $y$ respectively lie in the intervals:
JEE Main Mathematics Easy
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Q JEE MAIN 2021
When a certain biased die is rolled, a particular face occurs with probability $\frac{1}{6}-x$ and its opposite face occurs with probability $\frac{1}{6}+x$. All other faces...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If $\alpha, \beta$ are the distinct roots of $x^2+b x+c=0$, then $\lim _{x \rightarrow \beta} \frac{e^{2\left(x^2+b x+c\right)}-1-2\left(x^2+b x+c\right)}{(x-\beta)^2}$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let $\frac{\sin A}{\sin B}=\frac{\sin (A-C)}{\sin (C-B)}$, where $A, B, C$ are angles of a triangle $A B C$. If the lengths of the sides opposite...
JEE Main Mathematics Medium
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