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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
Let the mean of the data \begin{tabular}{|l|l|l|l|l|l|} \hline$x$ & 1 & 3 & 5 & 7 & 9 \\ \hline Frequency $(f)$ & 4 &...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $\vec{a}=3 \hat{i}+\hat{j}-\hat{k}$ and $\vec{c}=2 \hat{i}-3 \hat{j}+3 \hat{k}$. If $\vec{b}$ is a vector such that $\vec{a}=\vec{b} \times \vec{c}$ and $|\vec{b}|^2=50$, then $\left|72-|\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}|^2\right|$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let the image of the point $\left(\frac{5}{3}, \frac{5}{3}, \frac{8}{3}\right)$ in the plane $x-2 y+z-2=0$ be $P$. If the distance of the point $Q(6-2, \alpha), \alpha>Q$...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $m_1$ and $m_2$ be the slopes of the tangents drawn from the point $P(4,1)$ to the hyperbola $H: \frac{y^2}{25}-\frac{x^2}{16}=1$. If $Q$ is the point...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The number of seven digit positive integers formed using the digits 1,2,3 and 4 only and sum of the digits equal to 12 is ______.
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The sum to 20 terms of the series $2.2^2-3^2+2.4^2-5^2+2.6^2-\ldots \ldots$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let for $\mathrm{x} \in \mathbb{R}, \mathrm{So}(\mathrm{x})=\mathrm{x}$, $S_k(x)=C_k x+k \int_0^x S_{k-1}(t) d t$, where $C_0=1, C_k=1-\int_0^x S_{k-1}(x) d x, k=1,2,3 \ldots .$. Then $S_2(3)+6 C_3$ is...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $\omega=\mathrm{z} \overline{\mathrm{z}}+\mathrm{k} 1 \mathrm{z}+\mathrm{k} 2 \mathrm{z}+\lambda(1+\mathrm{j}), \mathrm{k}_1, \mathrm{k} 2 \in \mathbb{R}$. Let $\operatorname{Re}(\omega)=0$ be the circle C of radius 1 in the first quadrant...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
If $S=\left\{x \in \mathbb{R}: \sin ^{-1}\left(\frac{x+1}{\sqrt{x^2+2 x+2}}\right)-\sin ^{-1}\left(\frac{x}{\sqrt{x^2+1}}\right)=\frac{\pi}{4}\right\}$, then $\sum_{x \in \mathbb{R}}\left(\sin \left(x^2+x+5\right) \frac{\pi}{2}\right)-\cos \left(\left(x^2+x+5\right) \pi\right)$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Hard
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Q JEE MAIN 2023
Let $\alpha$ be the constant term in the binomial expansion of $\left(\sqrt{x}-\frac{6}{x^{\frac{3}{2}}}\right)^n, n \leq 15$. If the sum of the Coefficients of the remaining terms...
JEE Main Mathematics Hard
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