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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.

60Papers
7Years
282Questions
1Topics

Three Dimensional Geometry question pattern

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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 282 100%

Question type distribution

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

Multiple Choices 282 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
282 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
282 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Three Dimensional Geometry
282 Qs

Paper coverage

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

MHT CET 2025 19TH APRIL MORNING SHIFT
8 Qs
MHT CET 2025 21ST APRIL EVENING SHIFT
6 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
6 Qs
MHT CET 2025 23RD APRIL EVENING SHIFT
6 Qs
MHT CET 2025 19TH APRIL EVENING SHIFT
5 Qs
MHT CET 2025 20TH APRIL MORNING SHIFT
5 Qs
MHT CET 2025 22ND APRIL EVENING SHIFT
5 Qs
MHT CET 2025 23RD APRIL MORNING SHIFT
5 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
5 Qs
MHT CET 2025 25TH APRIL MORNING SHIFT
5 Qs
MHT CET 2025 26TH APRIL EVENING SHIFT
5 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
5 Qs
MHT CET 2025 5TH MAY EVENING SHIFT
5 Qs
MHT CET 2025 20TH APRIL EVENING SHIFT
4 Qs
MHT CET 2025 21ST APRIL MORNING SHIFT
3 Qs
MHT CET 2024 11TH MAY MORNING SHIFT
6 Qs
MHT CET 2024 2ND MAY EVENING SHIFT
6 Qs
MHT CET 2024 10TH MAY EVENING SHIFT
5 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
5 Qs
MHT CET 2024 3RD MAY EVENING SHIFT
5 Qs
MHT CET 2024 4TH MAY EVENING SHIFT
5 Qs
MHT CET 2024 10TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 11TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 16TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 2ND MAY MORNING SHIFT
4 Qs
MHT CET 2024 3RD MAY MORNING SHIFT
4 Qs
MHT CET 2024 4TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 9TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 9TH MAY MORNING SHIFT
4 Qs
MHT CET 2023 13TH MAY EVENING SHIFT
6 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
6 Qs
MHT CET 2023 11TH MAY MORNING SHIFT
5 Qs
MHT CET 2023 12TH MAY EVENING SHIFT
5 Qs
MHT CET 2023 12TH MAY MORNING SHIFT
5 Qs
MHT CET 2023 13TH MAY MORNING SHIFT
5 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
4 Qs
MHT CET 2023 11TH MAY EVENING SHIFT
4 Qs
MHT CET 2023 14TH MAY EVENING SHIFT
4 Qs
MHT CET 2023 9TH MAY EVENING SHIFT
4 Qs
MHT CET 2023 10TH MAY EVENING SHIFT
3 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
3 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
5 Qs
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
6 Qs
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
6 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
5 Qs
MHT CET 2021 23th September Morning Shift
5 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
5 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
5 Qs
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
4 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
4 Qs
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
2 Qs
MHT CET 2020 16TH OCTOBER EVENING SHIFT
6 Qs
MHT CET 2020 19TH OCTOBER EVENING SHIFT
5 Qs
MHT CET 2020 16TH OCTOBER MORNING SHIFT
4 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
5 Qs
MHT CET 2019 2ND MAY EVENING SHIFT
4 Qs
MHT CET 2019 3RD MAY MORNING SHIFT
4 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
MHT CET 2025 19TH APRIL EVENING SHIFT20255View paper
MHT CET 2025 19TH APRIL MORNING SHIFT20258View paper
MHT CET 2025 20TH APRIL EVENING SHIFT20254View paper
MHT CET 2025 20TH APRIL MORNING SHIFT20255View paper
MHT CET 2025 21ST APRIL EVENING SHIFT20256View paper
MHT CET 2025 21ST APRIL MORNING SHIFT20253View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20255View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20256View paper
MHT CET 2025 23RD APRIL EVENING SHIFT20256View paper
MHT CET 2025 23RD APRIL MORNING SHIFT20255View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20255View paper
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MHT CET 2025 26TH APRIL MORNING SHIFT20255View paper
MHT CET 2025 5TH MAY EVENING SHIFT20255View paper
MHT CET 2024 10TH MAY EVENING SHIFT20245View paper
MHT CET 2024 10TH MAY MORNING SHIFT20244View paper
MHT CET 2024 11TH MAY EVENING SHIFT20244View paper
MHT CET 2024 11TH MAY MORNING SHIFT20246View paper
MHT CET 2024 15TH MAY EVENING SHIFT20245View paper
MHT CET 2024 15TH MAY MORNING SHIFT20244View paper
MHT CET 2024 16TH MAY EVENING SHIFT20244View paper
MHT CET 2024 16TH MAY MORNING SHIFT20244View paper
MHT CET 2024 2ND MAY EVENING SHIFT20246View paper
MHT CET 2024 2ND MAY MORNING SHIFT20244View paper
MHT CET 2024 3RD MAY EVENING SHIFT20245View paper
MHT CET 2024 3RD MAY MORNING SHIFT20244View paper
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MHT CET 2024 4TH MAY MORNING SHIFT20244View paper
MHT CET 2024 9TH MAY EVENING SHIFT20244View paper
MHT CET 2024 9TH MAY MORNING SHIFT20244View paper
MHT CET 2023 10TH MAY EVENING SHIFT20233View paper
MHT CET 2023 10TH MAY MORNING SHIFT20234View paper
MHT CET 2023 11TH MAY EVENING SHIFT20234View paper
MHT CET 2023 11TH MAY MORNING SHIFT20235View paper
MHT CET 2023 12TH MAY EVENING SHIFT20235View paper
MHT CET 2023 12TH MAY MORNING SHIFT20235View paper
MHT CET 2023 13TH MAY EVENING SHIFT20236View paper
MHT CET 2023 13TH MAY MORNING SHIFT20235View paper
MHT CET 2023 14TH MAY EVENING SHIFT20234View paper
MHT CET 2023 14TH MAY MORNING SHIFT20236View paper
MHT CET 2023 9TH MAY EVENING SHIFT20234View paper
MHT CET 2023 9TH MAY MORNING SHIFT20233View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20225View paper
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT20214View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20215View paper
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT20216View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20216View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20214View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20212View paper
MHT CET 2021 23th September Morning Shift20215View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20215View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20215View paper
MHT CET 2020 16TH OCTOBER EVENING SHIFT20206View paper
MHT CET 2020 16TH OCTOBER MORNING SHIFT20204View paper
MHT CET 2020 19TH OCTOBER EVENING SHIFT20205View paper
MHT CET 2019 2ND MAY EVENING SHIFT20194View paper
MHT CET 2019 2ND MAY MORNING SHIFT20195View paper
MHT CET 2019 3RD MAY MORNING SHIFT20194View paper

All Three Dimensional Geometry previous year questions

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

1
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY EVENING SHIFT

If $P(6,10,10), Q(1,0,-5), R(6,-10, \lambda)$ are vertices of a triangle right angled at $Q$, then value of $\lambda$ is ............

A
0
B
1
C
3
D
2
Open complete paper
2
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY EVENING SHIFT

If the foot of the perpendicular drawn from the point $(0,0,0)$ to the plane is $(4,-2,-5)$ then the equation of the plane is .............

A
$4 x+2 y+5 z=-13$
B
$4 x-2 y-5 z=45$
C
$4 x+2 y-5 z=37$
D
$4 x-2 y+5 z=-5$
Open complete paper
3
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY EVENING SHIFT

Equations of planes parallel to the plane $x-2 y+2 z+4=0$ which are at a distance of one unit from the point $(1,2,3)$ are ............

A
$x+2 y+2 z=-6, x+2 y+2 z=5$
B
$x-2 y-6=0, x-2 y+z=6$
C
$x+2 y+2 z=6, x+2 y+2 z=0$
D
$x-2 y+2 z=0, x-2 y+2 z-6=0$
Open complete paper
4
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY EVENING SHIFT

If lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-\lambda}{2}=\frac{z}{1}$ intersect each other, then $\lambda=\ldots \ldots$

A
$\frac{7}{2}$
B
$\frac{3}{2}$
C
$\frac{9}{2}$
D
$\frac{5}{2}$
Open complete paper
5
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY MORNING SHIFT

If $G(3,-5, r)$ is centroid of triangle $A B C$ where $A(7,-8,1), B(p, q, 5)$ and $C(q+1,5 p, 0)$ are vertices of a triangle then values of $p, q, r$ are respectively ......

A
$6,5,4$
B
$-4,5,4$
C
$-3,4,3$
D
$-2,3,2$
Open complete paper
6
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY MORNING SHIFT

If the line passes through the points $P(6,-1,2), Q(8,-7,2 \lambda)$ and $R(5,2,4)$ then value of $\lambda$ is ...........

A
$-3$
B
0
C
$-1$
D
2
Open complete paper
7
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY MORNING SHIFT

The co-ordinates of the foot of perpendicular drawn from origin to the plane $2 x-y+5 z-3=0$ are $\ldots \ldots$

A
$\left(\frac{2}{\sqrt{30}}, \frac{-1}{\sqrt{30}}, \frac{5}{\sqrt{30}}\right)$
B
$(2,-1,5)$
C
$\left(\frac{2}{3}, \frac{-1}{3}, \frac{5}{3}\right)$
D
$\left(\frac{1}{5}, \frac{-1}{10}, \frac{1}{2}\right)$
Open complete paper
8
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY MORNING SHIFT

The angle between lines $\frac{x-2}{2}=\frac{y-3}{-2}=\frac{z-5}{1}$ and $\frac{x-2}{1}=\frac{y-3}{2}=\frac{z-5}{2}$ is ............

A
$30^{\circ}$
B
$60^{\circ}$
C
$45^{\circ}$
D
$90^{\circ}$
Open complete paper
9
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 2ND MAY MORNING SHIFT

The equation of the plane passing through the point $(-1,2,1)$ and perpendicular to the line joining the points $(-3,1,2)$ and $(2,3,4)$ is

A
$r \cdot(5 \hat{i}+2 \hat{j}+2 \hat{k})=1$
B
$r \cdot(5 \hat{i}+2 \hat{j}+2 \hat{k})=-1$
C
$r \cdot(5 \hat{i}-2 \hat{j}+2 \hat{k})=-5$
D
$r \cdot(5 \hat{i}-2 \hat{j}-2 \hat{k})=1$
Open complete paper
10
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 3RD MAY MORNING SHIFT

If line $\frac{2 x-4}{\lambda}=\frac{y-1}{2}=\frac{z-3}{1}$ and $\frac{x-1}{1}=\frac{3 y-1}{\lambda}=\frac{z-2}{1}$ are perpendicular to each other then $\lambda=$ ............

A
7
B
$-\frac{7}{6}$
C
6
D
$-\frac{6}{7}$
Open complete paper
11
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 3RD MAY MORNING SHIFT

Which of the following can not be the direction cosines of a line?

A
$\sqrt{\frac{1}{5}},-\sqrt{\frac{1}{2}}, \sqrt{\frac{3}{10}}$
B
$\frac{1}{\sqrt{3}}, \frac{-1}{\sqrt{3}}, \frac{1}{\sqrt{3}}$
C
$\frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}$
D
$\frac{1}{\sqrt{2}}, \frac{-1}{\sqrt{2}}, 0$
Open complete paper
12
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 3RD MAY MORNING SHIFT

The vector equation of the plane $\mathbf{r}=(2 \hat{\mathbf{i}}+\hat{\mathbf{k}})+\lambda(\hat{\mathbf{i}})+\mu(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}})$ in scalar product form is $\mathbf{r} \cdot(3 \hat{\mathbf{i}}+2 \hat{\mathbf{k}})=\alpha$, then $\alpha=\ldots$

A
2
B
3
C
1
D
0
Open complete paper
13
2019 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2019 3RD MAY MORNING SHIFT

The direction ratios of the normal to the plane passing through origin and the line of intersection of the planes $x+2 y+3 z=4$ and $4 x+3 y+2 z=1$ are $\ldots \ldots$

A
$2,3,1$
B
$1,2,3$
C
$3,1,2$
D
$3,2,1$
Open complete paper
14
2020 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2020 16TH OCTOBER EVENING SHIFT

If the plane \(2 x+3 y+5 z=1\) intersects the co-ordinate axes at the points \(A, B, C\), then the centroid of \(\triangle A B C\) is

A
\((2,3,5)\)
B
\(\left(\frac{1}{6}, \frac{1}{9}, \frac{1}{15}\right)\)
C
\(\left(\frac{3}{2}, 1, \frac{3}{5}\right)\)
D
\(\left(\frac{1}{2}, \frac{1}{3}, \frac{1}{5}\right)\)
Open complete paper
15
2020 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The points \(A(-a,-b), B(0,0), C(a, b)\) and \(D\left(a^2, a b\right)\) are

A
vertices of a square
B
vertices of a parallelogram
C
collinear
D
vertices of a rectangle
Open complete paper
16
2020 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2020 16TH OCTOBER EVENING SHIFT

If the line \(r=(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})+\lambda(2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}})\) is parallel to the plane \(r \cdot(3 \hat{i}-2 \hat{\mathbf{j}}+m \hat{\mathbf{k}})=10\), then the value of \(m\) is

A
\(-\)2
B
3
C
2
D
\(-\)3
Open complete paper
17
2020 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The angle between the lines \(\frac{x-1}{4}=\frac{y-3}{1}=\frac{z}{8}\) and \(\frac{x-2}{2}=\frac{y+1}{2}=\frac{z-4}{1}\) is

A
\(\cos ^{-1}\left(\frac{2}{3}\right)\)
B
\(\cos ^{-1}\left(\frac{1}{2}\right)\)
C
\(\cos ^{-1}\left(\frac{3}{4}\right)\)
D
\(\cos ^{-1}\left(\frac{1}{3}\right)\)
Open complete paper
18
2020 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The direction co-sines of the line which bisects the angle between positive direction of \(Y\) and \(Z\) axes are

A
\(0, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\)
B
\(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0\)
C
\(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\)
D
\(\frac{1}{\sqrt{2}}, 0, \frac{1}{\sqrt{2}}\)
Open complete paper
19
2020 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The cosine of the angle included between the lines \(\mathbf{r}=(2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-2 \hat{\mathbf{k}})+\lambda(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})\) and \(\mathbf{r}=(\hat{\mathbf{i}}+\hat{\mathbf{j}}+3 \hat{\mathbf{k}})+\mu(3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-6 \hat{\mathbf{k}})\) where \(\lambda, \mu \in R\) is.

A
\(\frac{3}{21}\)
B
\(\frac{17}{21}\)
C
\(\frac{13}{21}\)
D
\(\frac{11}{21}\)
Open complete paper
20
2020 · Mathematics · Algebra · Three Dimensional Geometry
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The angle between the line \(r =(\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}})+\lambda(3 \hat{\mathbf{i}}+\hat{\mathbf{j}})\) and the plane \(\mathbf{r} \cdot(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})=8\) is

A
\(\sin ^{-1}\left(\frac{2 \sqrt{7}}{\sqrt{5}}\right)\)
B
\(\sin ^{-1}\left(\frac{\sqrt{5}}{2 \sqrt{7}}\right)\)
C
\(\sin ^{-1}\left(\frac{3 \sqrt{7}}{\sqrt{5}}\right)\)
D
\(\sin ^{-1}\left(\frac{\sqrt{7}}{3 \sqrt{5}}\right)\)
Open complete paper

Showing 20 of 282 questions