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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.

9Papers
9Years
38Questions
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 38 100%

Question type distribution

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

Multiple Choices 38 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
38 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
38 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Three Dimensional Geometry
38 Qs

Paper coverage

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

KCET 2025
3 Qs
KCET 2024
5 Qs
KCET 2023
5 Qs
KCET 2022
4 Qs
KCET 2021
5 Qs
KCET 2020
4 Qs
KCET 2019
4 Qs
KCET 2018
4 Qs
KCET 2017
4 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
KCET 202520253View paper
KCET 202420245View paper
KCET 202320235View paper
KCET 202220224View paper
KCET 202120215View paper
KCET 202020204View paper
KCET 201920194View paper
KCET 201820184View paper
KCET 201720174View paper

All Three Dimensional Geometry previous year questions

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

1
2017 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2017
The distance of the point $(-2,4,-5)$ from the line $\frac{x+3}{3}=\frac{y-4}{5}=\frac{z+8}{6}$ is
A
$\sqrt{\frac{37}{10}}$
B
$\frac{37}{10}$
C
$\frac{\sqrt{37}}{10}$
D
$\frac{37}{\sqrt{10}}$
Open complete paper
2
2017 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2017
The plane $2 x-3 y+6 z-11=0$ makes an angle $\sin ^{-1}(\alpha)$ with $X$-axis, the value of $\alpha$ is equal to
A
$\frac{\sqrt{2}}{3}$
B
$\frac{2}{7}$
C
$\frac{\sqrt{3}}{2}$
D
$\frac{3}{7}$
Open complete paper
3
2017 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2017
The perpendicular distance of the point $P(6,7,8)$ from $X Y$-plane is
A
6
B
7
C
5
D
8
Open complete paper
4
2017 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2017
Reflexion of the point $(\alpha, \beta, \gamma)$ in $X Y$-plane is
A
$(0,0, \gamma)$
B
$(-\alpha,-\beta, \gamma)$
C
$(\alpha, \beta,-\gamma)$
D
$(\alpha, \beta, 0)$
Open complete paper
5
2018 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2018
The value of $k$ such that the line $\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}$ lies on the plane $2 x-4 y+z=7$ is
A
-7
B
4
C
-4
D
7
Open complete paper
6
2018 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2018
The image of the point $(1,6,3)$ in the line $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ is
A
$(1,0,7)$
B
$(7,0,1)$
C
$(2,7,0)$
D
$(-1,-6,-3)$
Open complete paper
7
2018 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2018
The angle between the lines $2 x=3 y=-z$ and $6 x=-y=-4 z$ is
A
$0^{\circ}$
B
$45^{\circ}$
C
$90^{\circ}$
D
$30^{\circ}$
Open complete paper
8
2018 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2018
The locus represented by $x y+y z=0$ is
A
a pair of perpendicular lines
B
a pair of parallel lines
C
a pair of parallel planes
D
a pair of perpendicular planes
Open complete paper
9
2019 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2019

Acute angel between the line \(\frac{(x-5)}{2}=\frac{y+1}{-1}=\frac{z+4}{1}\) and the plane \(3 x-4 y-z+5=0\) is

A
\(\cos ^{-1}\left(\frac{5}{2 \sqrt{3}}\right)\)
B
\(\cos ^{-1}\left(\frac{9}{\sqrt{364}}\right)\)
C
\(\sin ^{-1}\left(\frac{5}{2 \sqrt{13}}\right)\)
D
\(\sin ^{-1}\left(\frac{9}{\sqrt{364}}\right)\)
Open complete paper
10
2019 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2019

\(X Y\) plane divides the line joining the points \(A(2,3,-5)\) and \(B(-1,-2,-3)\) in the ratio

A
\(5: 3\) internally
B
\(2: 1\) internally
C
\(5: 3\) externally
D
\(3: 2\) externally
Open complete paper
11
2019 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2019

Foot of the perpendicular drawn from the point \((1,3,4)\) to the plane \(2 x-y+z+3=0\) is

A
\((1,2-3)\)
B
\((-1,4,3)\)
C
\((-3,5,2)\)
D
\((0,-4,-7)\)
Open complete paper
12
2019 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2019

The distance of the point \((1,2,1)\) from the line \(\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-3}{2}\) is.

A
\(\frac{\sqrt{5}}{3}\)
B
\(\frac{2 \sqrt{3}}{5}\)
C
\(\frac{20}{3}\)
D
\(\frac{2 \sqrt{5}}{3}\)
Open complete paper
13
2020 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2020

The distance of the point \((1,2,-4)\) from the line \(\frac{x-3}{2}=\frac{y-3}{3}=\frac{z+5}{6}\) is

A
\(\frac{293}{7}\)
B
\(\frac{\sqrt{293}}{7}\)
C
\(\frac{293}{49}\)
D
\(\frac{\sqrt{293}}{49}\)
Open complete paper
14
2020 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2020

The point \((1,-3,4)\) lies in the octant

A
Second
B
Third
C
Fourth
D
Eighth
Open complete paper
15
2020 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2020

The sine of the angle between the straight line \(\frac{x-2}{3}=\frac{3-y}{-4}=\frac{z-4}{5}\) and the plane \(2 x-2 y+z=5\) is

A
\(\frac{3}{\sqrt{30}}\)
B
\(\frac{3}{50}\)
C
\(\frac{4}{5 \sqrt{2}}\)
D
\(\frac{\sqrt{2}}{10}\)
Open complete paper
16
2020 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2020

If a line makes an angle of with each of \(X\) and \(Y\)-axis, then the acute angle made by Z-axis is

A
\(\frac{\pi}{4}\)
B
\(\frac{\pi}{6}\)
C
\(\frac{\pi}{3}\)
D
\(\frac{\pi}{2}\)
Open complete paper
17
2021 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2021

The angle between the lines whose direction cosines are \(\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{\sqrt{3}}{2}\right)\) and \(\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{-\sqrt{3}}{2}\right)\)

A
\(\pi\)
B
\(\frac{\pi}{2}\)
C
\(\frac{\pi}{3}\)
D
\(\frac{\pi}{4}\)
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18
2021 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2021

The area of the quadrilateral \(A B C D\) when \(A(0,4,1), B(2,3,-1), C(4,5,0)\) and \(D(2,6,2)\) is equal to

A
9 sq units
B
18 sq units
C
27 sq units
D
81 sq units
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19
2021 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2021

The equation of the line joining the points \((-3,4,11)\) and \((1,-2,7)\) is

A
\(\frac{x+3}{2}=\frac{y-4}{3}=\frac{z-11}{4}\)
B
\(\frac{x+3}{-2}=\frac{y-4}{3}=\frac{z-11}{2}\)
C
\(\frac{x+3}{-2}=\frac{y+4}{3}=\frac{z+11}{4}\)
D
\(\frac{x+3}{2}=\frac{y+4}{-3}=\frac{z+11}{2}\)
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20
2021 · Mathematics · Algebra · Three Dimensional Geometry
KCET 2021

The mid points of the sides of triangle are \((1,5,-1)(0,4,-2)\) and \((2,3,4)\) then centroid of the triangle

A
\((1,4,3)\)
B
\(\left(1,4, \frac{1}{3}\right)\)
C
\((-1,4,3)\)
D
\(\left(\frac{1}{3}, 2,4\right)\)
Open complete paper

Showing 20 of 38 questions