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2023 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

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Q [JEE-Main 2023
If $\alpha>\beta>0$ are the roots of the equation $a x^2+b x+1=0$, and $\lim _{x \rightarrow \frac{1}{\alpha}}\left(\frac{1-\cos \left(x^2+b x+a\right)}{2(1-\alpha x)^2}\right)^{\frac{1}{2}}=\frac{1}{k}\left(\frac{1}{\beta}-\frac{1}{\alpha}\right)$, then k is equal to
JEE Main Mathematics Medium
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Q JEE-Main 2023
The neqation of $(p \wedge(\sim q)) \vee(\sim p)$ is equivalent to
JEE Main Mathematics Easy
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Q JEE-Main 2023
Let $O$ be the origin and $O P$ and $O Q$ be the tangents to the circle $x^2+y^2-6 x+4 y+8=0$ at the point $P$ and...
JEE Main Mathematics Medium
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Q JEE-Main 2023
Let the vectors $\overrightarrow{\mathrm{u}}_1=\hat{\mathrm{i}}+\hat{\mathrm{j}}+a \hat{\mathrm{k}}, \overrightarrow{\mathrm{u}}=\hat{\mathrm{i}}+b \hat{\mathrm{j}}+\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{u}}_3=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$ be coplanar. If the vectors $\vec{v}_1=(a+b) \hat{i}+c \hat{j}+c \hat{k}, \quad \vec{v}_2=a \hat{i}+(b+c) \hat{j}+a \hat{k}$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
If the area of the region $\left\{(x, y):\left|x^2-2\right| \leq y \leq x\right\}$ is $A$, then $6 A+16 \sqrt{2}$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2023
In the figure, $\theta_1+\theta_2=\frac{\pi}{2}$ and $\sqrt{3}(B E)=4(A B)$. If the area of $\triangle C A B$ is $2 \sqrt{3}-3$ unit $^2$, when $\frac{\theta_2}{\theta_1}$ is the...
JEE Main Mathematics Hard
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Q JEE MAIN 2023
The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to _______.
JEE Main Mathematics Easy
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Q JEE MAIN_2023
$25^{190}-19^{190}-8^{190}+2^{190}$ is divisible by
JEE Main Mathematics Hard
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Q JEE MAIN 2023
If the domain of the function $f(x)=\sec ^{-1}\left(\frac{2 x}{5 x+3}\right)$ is $[\alpha, \beta] \cup[\gamma, \delta]$, then $|3 \alpha+10(\beta+\gamma)+21 \delta|$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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