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Previous year question hub

Three Dimensional Geometry - Algebra - Mathematics Previous Year Questions

Practice Three Dimensional Geometry - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

5Papers
5Years
7Questions
1Topics

Three Dimensional Geometry question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Three Dimensional Geometry. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 7 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 7 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
7 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
7 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Three Dimensional Geometry
7 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

BITSAT 2025
1 Qs
BITSAT 2023
1 Qs
BITSAT 2022
1 Qs
BITSAT 2021
3 Qs
BITSAT 2020
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
BITSAT 202520251View paper
BITSAT 202320231View paper
BITSAT 202220221View paper
BITSAT 202120213View paper
BITSAT 202020201View paper

All Three Dimensional Geometry previous year questions

Practice every matching question in batches of 20, with every available option.

1
2020 Ā· Mathematics Ā· Algebra Ā· Three Dimensional Geometry
BITSAT 2020

A line passing through P(3, 7, 1) and R(2, 5, 7) meet the plane 3x + 2y + 11z \(-\) 9 = 0 at Q. Then PQ is equal to

A
\({{5\sqrt {41} } \over {59}}\)
B
\({{\sqrt {41} } \over {59}}\)
C
\({{50\sqrt {41} } \over {59}}\)
D
\({{25\sqrt {41} } \over {59}}\)
Open complete paper
2
2021 Ā· Mathematics Ā· Algebra Ā· Three Dimensional Geometry
BITSAT 2021

The distance between the line \(r = 2\widehat i - 2\widehat j + 3\widehat k + \lambda (\widehat i - \widehat j + 4\widehat k)\) and the plane \(a\,.\,(\widehat i + 5\widehat j + \widehat k) = 5\) is

A
\({10 \over {9}}\)
B
\({{10} \over {3\sqrt 3 }}\)
C
\({10 \over {3}}\)
D
None of these
Open complete paper
3
2021 Ā· Mathematics Ā· Algebra Ā· Three Dimensional Geometry
BITSAT 2021

Consider the two lines

\({L_1}:{{x + 1} \over 3} = {{y + 2} \over 1} = {{z + 1} \over 2}\) and \({L_2}:{{x - 2} \over 1} = {{y + 2} \over 2} = {{z - 3} \over 3}\)

The unit vector perpendicular to both the lines L1 and L2 is

A
\({{ - \widehat i + 7\widehat j + 7\widehat k} \over {\sqrt {99} }}\)
B
\({{ - \widehat i - 7\widehat j + 5\widehat k} \over {5\sqrt 3 }}\)
C
\({{ - \widehat i + 7\widehat j + 5\widehat k} \over {5\sqrt 3 }}\)
D
\({{7\widehat i - 7\widehat j + \widehat k} \over {\sqrt {99} }}\)
Open complete paper
4
2021 Ā· Mathematics Ā· Algebra Ā· Three Dimensional Geometry
BITSAT 2021

Angle between the diagonals of a cube is

A
\(\pi\) / 3
B
\(\pi\) / 2
C
cos\(-\)1(1/3)
D
cos\(-\)1(1/\(\sqrt3\))
Open complete paper
5
2022 Ā· Mathematics Ā· Algebra Ā· Three Dimensional Geometry
BITSAT 2022

If the plane \(3x + y + 2z + 6 = 0\) is parallel to the line \({{3x - 1} \over {2b}} = 3 - y = {{z - 1} \over a}\), then the value of \(3a + 3b\) is

A
\({1 \over 2}\)
B
\({3 \over 2}\)
C
3
D
4
Open complete paper
6
2023 Ā· Mathematics Ā· Algebra Ā· Three Dimensional Geometry
BITSAT 2023

The equation of the line passing through \((-4,3,1)\) parallel to the plane \(x+2 y-z-5=0\) and intersecting the line \(\frac{x+1}{-3}=\frac{y-3}{2}=\frac{z-2}{-1}\) is

A
\(\frac{x+4}{3}=\frac{y-3}{-1}=\frac{z-1}{1}\)
B
\(\frac{x+4}{-1}=\frac{y-3}{1}=\frac{z-1}{1}\)
C
\(\frac{x+4}{1}=\frac{y-3}{1}=\frac{z-1}{3}\)
D
\(\frac{x-4}{2}=\frac{y+3}{1}=\frac{z+1}{4}\)
Open complete paper
7
2025 Ā· Mathematics Ā· Algebra Ā· Three Dimensional Geometry
BITSAT 2025

The magnitude projection of line segment joining points $(1,2,3)$ and $(-1,4,2)$ on the line joining points $(-2,3,3)$ and $(0,6,-3)$ is

A

$\frac{8}{6}$

B

$\frac{7}{6}$

C

$\frac{8}{7}$

D

$\frac{4}{3}$

Open complete paper