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3D Geometry - JEE Main Previous Year Questions with Solutions and Weightage

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Sahaj Anand

Content Writer | Journalism Graduate | Updated 3+ months ago

3D Geometry is part of the JEE Main Mathematics syllabus and carries 6.6% weightage in the JEE Main Mathematics Question Paper, generally 2-3 questions are asked from this topic.

3D Geometry is the mathematics of shapes in three dimensional spaces which comprises three coordinates i.e. x coordinate, y coordinate and z coordinate.

3D Geometry is considered to be of moderately tough with major focus on subtopics such as Distance Between Planes, Angle Between Lines & Planes.

Must Read Articles:

The 3D Geometry questions with detailed solutions asked in JEE Main are listed below:

Question 1

  1. 27
  2. 25
  3. 29
  4. 19

View Solution

Question 2

  1. 2
  2. √10
  3. 3
  4. 2√3

View Solution

Question 3

View Solution

Question 4

  1. 1
  2. 9/2
  3. 0
  4. 2

View Solution

Question 5

  1. 18
  2. 22
  3. 26
  4. 20

View Solution

Question 6

  1. 4x−9y=12
  2. x+9y=36
  3. 9x−9y=32
  4. 6x−9y=20

View Solution

Question 7

  1. 42
  2. 21
  3. 56
  4. 17

View Solution

Question 8

  1. √14
  2. 5√7
  3. 3√7
  4. 2√11

View Solution

Question 9

  1. 47
  2. 36
  3. 40
  4. 37

View Solution

Question 10

View Solution

JEE Main 2025 Mathematics Question Paper Pattern

The JEE Main 2025 Mathematics question paper consists of 25 mandatory questions worth a total of 100 marks. Each correct answer will be awarded +4 marks and 1 mark will be deducted for every incorrect answer.

Features Highlights
Mode of Exam Computer Based Test (Online)
Marking Scheme +4 for the correct answers and -1 for incorrect answer
Duration of Exam 3 Hours
Language of Exam Hindi, English and Gujarati (Only for centers in Gujarat, Daman and Diu, and Dadra and Nagar Haveli)
Types of Questions Multiple Choice Questions (MCQs) and Numerical Value Based
Total Number of Questions 25 questions
Total Marks 100

JEE Main Mathematics Chapter Wise Weightage

The JEE Main Mathematics chapters are divided into three categories: High weightage, Medium Weightage and Low Weightage.

High Weightage Chapters: Coordinate Geometry (15.33%), Calculus (12%) and Algebra (27%) are the highest weightage chapters in Mathematics. Candidates should have a strong hold on the concept and formulas in order to maximize their score.

Medium Weightage Chapters: Vector Algebra (6.33%), 3D Geometry (6.6%), Probability and Statistics (6.5%) and Differential Equations (5.6%) are categorized in the medium weightage chapters as they are responsible for approximately 2-4 questions in the Mathematics question paper.

Low Weightage Chapters: Trigonometry (4.5%), Permutation and Combination (3.5%) and Binomial Theorem (3.1%) are categorized in the low weightage chapters. Questions from these chapters are not frequently asked in the mathematics paper.

Chapters Weightage (%) Approximate Marks
Coordinate Geometry 15.33% 16
Limits, Continuity, and Differentiability 12.00% 12
Integral Calculus 11.17% 12
Complex Numbers and Quadratic Equations 7.17% 8
Sets, Relations, and Functions 7.17% 8
Matrices and Determinants 6.50% 8
Sequences and Series 6.50% 8
Statistics and Probability 6.50% 8
Vector Algebra 6.33% 8
Differential Equations 5.67% 8
Three-Dimensional Geometry 4.50% 4
Trigonometry 4.50% 4
Permutations and Combinations 3.50% 4
Binomial Theorem and Its Applications 3.17% 4

JEE Main Mathematics Previous Year Question Papers with Solutions

The JEE Main Mathematics question paper PDFs along with the detailed solution PDFs for the last 5 years is tabulated below:

JEE Main 2024 Mathematics Question Paper Session 1

Exam Date Question Paper Solution PDF
JEE Main 2024 Feb 1 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Feb 1 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 31 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 31 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 30 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 30 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 29 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 29 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 27 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 27 Shift 1 Mathematics Question Paper Download Check Solution

JEE Main 2024 Mathematics Question Paper Session 2

Exam Date and Shift Question Paper Solution PDF
JEE Main 2024 April 4 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 4 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 5 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 5 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 6 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 6 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 8 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 8 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 9 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 9 Shift 2 Mathematics Question Paper Download Check Solution

JEE Main 2023 Mathematics Question Paper

Exam Date Mathematics Question Paper PDF
Mathematics 6 April Shift 1 Question Paper Check Here
Mathematics 6 April Shift 2 Question Paper Check Here
Mathematics 8 April Shift 1 Question Paper Check Here
Mathematics 8 April Shift 2 Question Paper Check Here
Mathematics 10 April Shift 1 Question Paper Check Here
Mathematics 10 April Shift 2 Question Paper Check Here
Mathematics 11 April Shift 1 Question Paper Check Here
Mathematics 11 April Shift 2 Question Paper Check Here
Mathematics 12 April Shift 1 Question Paper Check Here
Mathematics 13 April Shift 1 Question Paper Check Here
Mathematics 13 April Shift 2 Question Paper Check Here
Mathematics 15 April Shift 1 Question Paper Check Here

JEE Main 2023 Mathematics Question Paper Session 1

Exam Date and Shift Mathematics Question Paper PDF
Mathematics 24 January Shift 1 Question Paper Check Here
Mathematics 24 January Shift 2 Question Paper Check Here
Mathematics 25 January Shift 1 Question Paper Check Here
Mathematics 25 January Shift 2 Question Paper Check Here
Mathematics 29 January Shift 1 Question Paper Check Here
Mathematics 29 January Shift 2 Question Paper Check Here
Mathematics 30 January Shift 1 Question Paper Check Here
Mathematics 30 January Shift 2 Question Paper Check Here
Mathematics 31 January Shift 1 Question Paper Check Here
Mathematics 31 January Shift 2 Question Paper Check Here
Mathematics 1 February Shift 1 Question Paper Check Here
Mathematics 1 February Shift 2 Question Paper Check Here

JEE Main 2022 Mathematics Question Paper with Solution PDF

Exam Date Shift/ Slot Question Paper PDF
July 25 Shift 1 Check Here
July 25 Shift 2 Check Here
July 26 Shift 1 Check Here
July 26 Shift 2 Check Here
July 27 Shift 1 Check Here
July 27 Shift 2 Check Here
July 28 Shift 1 Check Here
July 28 Shift 2 Check Here
July 29 Shift 1 Check Here
July 29 Shift 2 Check Here

JEE Main 2022 Mathematics Question Paper with Solution PDF- Phase 1

Exam Date Shift/ Slot Question Paper PDF
June 29 Shift 1 Check Here
June 29 Shift 2 Check Here
June 28 Shift 1 Check Here
June 28 Shift 2 Check Here
June 27 Shift 1 Check Here
June 27 Shift 2 Check Here
June 26 Shift 1 Check Here
June 26 Shift 2 Check Here
June 25 Shift 1 Check Here
June 25 Shift 2 Check Here
June 24 Shift 1 Check Here
June 24 Shift 2 Check Here

JEE Main 2021 Mathematics Question Paper- Download PDF

Exam Date Shift/ Slot Question Paper PDF
August 26 Shift 1 Check Here
August 26 Shift 2 Check Here
August 27 Shift 1 Check Here
August 27 Shift 2 Check Here
August 31 Shift 1 Check Here
August 31 Shift 2 Check Here
September 1 Shift 2 Check Here

JEE Main 2021 Mathematics Question Paper with Solution (Session3- July)- Download PDF

Exam Date Shift/ Slot JEE Main Question Paper PDF
July 22 Shift 2 Check Here
July 25 Shift 1 Check Here
July 25 Shift 2 Check Here
July 27 Shift 1 Check Here
August 3 Shift 1 Check Here
August 3 Shift 2 Check Here
August 4 Shift 1 Check Here
August 4 Shift 2 Check Here

JEE Main 2021 Mathematics Question Paper with Solution (Session 2- March)- Download PDF

Exam Date Shift/ Slot Question Paper PDF
March 16 Shift 1 Check Here
March 16 Shift 2 Check Here
March 17 Shift 1 Check Here
March 17 Shift 2 Check Here
March 18 Shift 1 Check Here
March 18 Shift 2 Check Here

JEE Main 2021 Mathematics Question Paper with Solution (Session 1- February) - Download PDF

Exam Date Shift/ Slot Question Paper PDF
February 24 Shift 1 Check Here
February 24 Shift 2 Check Here
February 25 Shift 1 Check Here
February 25 Shift 2 Check Here
February 26 Shift 1 Check Here
February 26 Shift 2 Check Here

JEE Main 2020 Mathematics Question Paper with Solutions- Download PDF

Exam Date Shift/ Slot Question Paper PDF
September 2 Shift 1 Check Here
September 2 Shift 2 Check Here
September 3 Shift 1 Check Here
September 3 Shift 2 Check Here
September 4 Shift 1 Check Here
September 4 Shift 2 Check Here
September 5 Shift 1 Check Here
September 5 Shift 2 Check Here
September 6 Shift 1 Check Here
September 6 Shift 2 Check Here

JEE Main 2020 Mathematics Question Paper with Solutions (Session 1- January) - Download PDF

Exam Date Shift/ Slot JEE Main Question Paper PDF
January 8 Shift 1 Check Here
January 8 Shift 2 Check Here
January 9 Shift 1 Check Here
January 9 Shift 2 Check Here

Also Check:

Important Books for Mathematics:

Frequently Asked Questions

What is the concept of 3D Geometry?

3D Geometry refers to the mathematics of shapes in three dimensional spaces. These shapes comprise three coordinates: x-coordinate, y-coordinate and z-coordinate. In three dimensional spaces there is a requirement of three parameters to find the exact location of a point.

Is 3D Geometry easy in Class 12th?

Class 12th 3D Geometry is considered to be moderately tough and one of the most scoring chapters in mathematics. 3D geometry focuses on lines, planes, angles and three dimensional spaces. The candidate should be thorough with the related formulas to solve the numerical questions and maximize their overall score.

What does 3D mean in Geometry?

In geometry, three dimensional shapes refer to solids that have three dimensions such as length, width and height which is different from two dimensional shapes as they only have two dimensions, length and width. Some examples of three dimensional shapes are: cubical box, ball or a conical hat.

Is 3D Geometry important for JEE Mains?

Yes, 3D Geometry is important for JEE Main for understanding the direction of lines and vectors in 3D spaces. Mastering these concepts is important for solving a variety of numerical problems related to lines and planes. Understanding the concepts of this chapter is especially important for candidates aiming for the B.Arch courses in the top IITs.

What is DC and DR in 3D Geometry?

Direction Cosine (DC) and Direction Ratio (DR):

Direction Cosine is the cosine of the angle made by the line in the three dimensional space with x axis, y axis and z axis.

Direction Ratio helps in knowing the components of a line or a vector with reference to the x axis , y axis and z axis.

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JEE Main Questions

  • 1.
    Two iron solid discs of negligible thickness have radii \( R_1 \) and \( R_2 \) and moment of inertia \( I_1 \) and \( I_2 \), respectively. For \( R_2 = 2R_1 \), the ratio of \( I_1 \) and \( I_2 \) would be \( \frac{1}{x} \), where \( x \) is:

        View Solution

      • 2.
        Let $ x_1, x_2, x_3, x_4 $ be in a geometric progression. If 2, 7, 9, 5 are subtracted respectively from $ x_1, x_2, x_3, x_4 $, then the resulting numbers are in an arithmetic progression. Then the value of $ \frac{1}{24} (x_1 x_2 x_3 x_4) $ is:

          • 72
          • 18
          • 36
          • 216
          View Solution

        • 3.
          Let A and B be the two points of intersection of the line \( y + 5 = 0 \) and the mirror image of the parabola \( y^2 = 4x \) with respect to the line \( x + y + 4 = 0 \). If \( d \) denotes the distance between A and B, and \( a \) denotes the area of \( \Delta SAB \), where \( S \) is the focus of the parabola \( y^2 = 4x \), then the value of \( (a + d) \) is:

              View Solution

            • 4.
              A concave mirror produces an image of an object such that the distance between the object and image is 20 cm. If the magnification of the image is \( -3 \), then the magnitude of the radius of curvature of the mirror is:

                • 7.5 cm
                • 30 cm
                • 15 cm
                • 3.75 cm
                View Solution

              • 5.
                The variance of the numbers 8, 21, 34, 47, \dots, 320, is:

                    View Solution

                  • 6.
                    Let the area of a triangle \( \triangle PQR \) with vertices \( P(5, 4) \), \( Q(-2, 4) \), and \( R(a, b) \) be 35 square units. If its orthocenter and centroid are \( O(2, \frac{14}{5}) \) and \( C(c, d) \) respectively, then \( c + 2d \) is equal to:

                      • \( \frac{7}{3} \)
                      • \( 3 \)
                      • \( 2 \)
                      • \( \frac{8}{3} \)
                      View Solution
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