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Vector & 3D

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
An are PQ of a circle subtends a right angle at its centre O . The mid point of the arc PQ is R ....
JEE Main Mathematics Easy
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Q JEE-Main 2023
Let the image of the point P(1, 2, 3) in the plane 2x – y + z = 9 be Q. If the coordinates of...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
If equation of the plane that contains the point $(-2,3,5)$ and is perpendicular to each of the planes $2 x+ 4 y+5 z=8$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let two vertices of triangle ABC be $(2,4,6)$ and $(0,-2,-5)$, and its centroid be $(2,1,-1)$. If the image of third vertex in the plane $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $P$ be the point of intersection of the line $\frac{x+3}{3}=\frac{y+2}{1}=\frac{1-z}{2}$ and the plane $x+y+z=2$. If the distance of the point $P$ from the plane...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
If the equation of the plane containing the line $x+2 y+3 z-4=0=2 x+y-z+5$ and perpendicular to the plane $\vec{r}=(\hat{i}-\hat{j})+\lambda(\hat{i}+\hat{j}+\hat{k})+\mu(\hat{i}-2 \hat{j}+3 \hat{k})$ is $...
JEE Main Mathematics Medium
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Q JEE-Main 2023
Let the position vectors of the points A, B, C and D be $5 \hat{i}+5 \hat{j}+2 \lambda \hat{k}, \hat{i}+2 \hat{j}+3 \hat{k},-2 \hat{i}+\lambda \hat{j}+4 \hat{k}$ and...
JEE Main Mathematics Medium
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Q JEE-Main 2023
One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along x, y and z axes are 3,...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let $O$ be the origin and the position vector of the point $P$ be $-\hat{i}-2 \hat{j}+3 \hat{k}$. If the position vectors of the points $...
JEE Main Mathematics Easy
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Q JEE-Main 2023
If the equation of the plane passing through the line of intersection of the planes 2x - y + z = 3, 4x - 3y...
JEE Main Mathematics Medium
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