Three Dimensional Geometry PYQs - Last 5 Years
WB JEE / Mathematics / Algebra / 11 recent questions
MathematicsAlgebra2022-2026
Practice 11 WB JEE Mathematics questions from Three Dimensional Geometry. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
11
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Mathematics / Algebra
2022-2026
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11
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2022-2026
11
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2017-2026
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MCQ100%
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11 in last 5 years11 in last 10 years
Last 5 Years Three Dimensional Geometry Questions
Showing 11 of 11 filtered questions.
1Three Dimensional Geometry
The point of intersection of $\vec{r} \times \vec{a}=\vec{b} \times \vec{a}$ and $\vec{r} \times \vec{b}=\vec{a} \times \vec{b}$, where $\vec{a}=\hat{i}+\hat{j}$ and $\vec{b}=2 \hat{i}-\hat{k}$ is
MCQ+1 / -0.252026
2Three Dimensional Geometry
Consider a square $A B C D$ of diagonal length 2a. The square is folded along the diagonal $A C$ so that the plane of $\triangle A B C$ is perpendicular to the plane of $\triangle A D C$. In this case the shortest distance between $A B$ and...
MCQ+1 / -0.252026
3Three Dimensional Geometry
Intercepts of the plane $\vec{r} \cdot \vec{n}=d(\neq 0)$ on the coordinate axes respectively are
MCQ+1 / -0.252026
4Three Dimensional Geometry
The straight line $\frac{x-3}{3}=\frac{y-2}{1}=\frac{z-1}{0}$ is
MCQ+1 / -0.252025
5Three Dimensional Geometry
Angle between two diagonals of a cube will be
MCQ+2 / -0.52024
6Three Dimensional Geometry
If the relation between the direction ratios of two lines in \(\mathbb{R}^3\) are given by
\(l+\mathrm{m}+\mathrm{n}=0,2 l \mathrm{~m}+2 \mathrm{mn}-l \mathrm{n}=0\)
then the angle between the lines is
(\(l, \mathrm{~m}, \mathrm{n}\) have t...
\(l+\mathrm{m}+\mathrm{n}=0,2 l \mathrm{~m}+2 \mathrm{mn}-l \mathrm{n}=0\)
then the angle between the lines is
(\(l, \mathrm{~m}, \mathrm{n}\) have t...
MCQ+1 / -0.252024
7Three Dimensional Geometry
The plane \(2 x-y+3 z+5=0\) is rotated through \(90^{\circ}\) about its line of intersection with the plane \(x+y+z=1\). The equation of the plane in new position is
MCQ+1 / -0.252024
8Three Dimensional Geometry
The angle between a normal to the plane \(2x - y + 2z - 1 = 0\) and the X-axis is
MCQ+1 / -0.252023
9Three Dimensional Geometry
If the distance between the plane \(\alpha x - 2y + z = k\) and the plane containing the lines \({{x - 1} \over 2} = {{y - 2} \over 3} = {{z - 3} \over 4}\) and \({{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}\) is \(\sqrt 6\), ...
MCQ+1 / -0.252023
10Three Dimensional Geometry
The line \(x - 2y + 4z + 4 = 0\), \(x + y + z - 8 = 0\) intersect the plane \(x - y + 2z + 1 = 0\) at the point
MCQ+1 / -0.252022
11Three Dimensional Geometry
The equation of the plane through the intersection of the planes x + y + z = 1 and 2x + 3y \(-\) z + 4 = 0 and parallel to the x-axis is
MCQ+1 / -0.252022