Q JEE MAIN 2022

JEE Main Mathematics Medium

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Q JEE-Main_2026

If $\stackrel{\square}{a}$ and $\ddot{b}$ are two vectors such that $|\stackrel{\square}{a}|=2$ and $|\stackrel{n}{b}|=3$, then the maximum value of $...

JEE Main Mathematics Easy

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Q JEE MAIN 2026

Let a line $L_1$ pass through the origin and be perpendicular to the lines $$ \begin{aligned} & \mathrm{L}_2: \overrightarrow{\mathrm{r}}=(3+\mathrm{t}) \hat{i}+(2...

JEE Main Mathematics Medium

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Q JEE MAIN 2026

Let $\overrightarrow{\mathrm{a}}=4 \hat{i}-\hat{j}+3 \hat{k}, \overrightarrow{\mathrm{~b}}=10 \hat{i}+2 \hat{j}-\hat{k}$ and a vector $\overrightarrow{\mathrm{c}}$ be such that $2(\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}})+3(\overrightarrow{\mathrm{~b}} \times \overrightarrow{\mathrm{c}})=\overrightarrow{0}$. If...

JEE Main Mathematics Easy

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Q JEE MAIN 2026

Let $\overrightarrow{\mathrm{a}}=2 \hat{i}+3 \hat{j}+3 \hat{k}$ and $\overrightarrow{\mathrm{b}}=6 \hat{i}+3 \hat{j}+3 \hat{k}$. Then the square of the area of the triangle with...

JEE Main Mathematics Easy

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Q JEE MAIN_2026

If $\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=\hat{j}-\hat{k}$ and $\vec{c}$ be three vectors such that $\vec{a} \times \vec{c}=\vec{b}$ and $\vec{a} \cdot \vec{c}=3$, then $...

JEE Main Mathematics Easy

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Q JEE MAIN 2026

Let $O$ be the origin, $\overrightarrow{O P}=\vec{a}$ and $\overrightarrow{O Q}=\vec{b}$. If $R$ is the point on $\overrightarrow{O P}$ such that...

JEE Main Mathematics Easy

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Q JEE MAIN 2026

The shortest distance between the lines $\vec{r}=\left(\frac{1}{3} \hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\frac{8}{3} \hat{\mathrm{k}}\right)+\lambda(2 \hat{\mathrm{i}}-5 \hat{\mathrm{j}}+6 \hat{\mathrm{k}})$ and $...

JEE Main Mathematics Hard

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Q JEE MAIN 2026

Let $\vec{a}=\sqrt{7} \hat{i}+\hat{j}-\hat{k}$ and $\vec{b}=\hat{j}+2 \hat{k}$. If $\vec{r}$ is a vector such that $\vec{r} \times \vec{a}+\vec{a} \times \vec{b}=\overrightarrow{0}$ and $...

JEE Main Physics Easy

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