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Three Dimensional Geometry PYQs (previous year questions) for CBSE Class 12: Three Dimensional Geometry (Mathematics) had 30 questions across the 50 official CBSE Class 12 papers we tagged (2016–2026), and appeared in 10 of them. Asked in 10 of 10 years. The concepts asked in the most papers: Equation of Plane, Direction Cosines, Distance from Axis.
Year-wise question count
Asked in 10 of 10 years.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Equation of Plane | 5 | 4 | 2022, 2020, 2019, 2016 |
| Direction Cosines | 4 | 3 | 2024, 2023, 2019 |
| Angle Between Lines | 3 | 3 | 2026, 2020, 2019 |
| Distance from Axis | 3 | 3 | 2026, 2024, 2020 |
| Shortest Distance Between Lines | 3 | 3 | 2026, 2025, 2018 |
| Equation of Line | 3 | 2 | 2023, 2020 |
| Image of a Point | 2 | 2 | 2025, 2024 |
| Line and Plane Intersection | 2 | 2 | 2018, 2017 |
| Distance Between Planes | 1 | 1 | 2017 |
| Distance from Plane | 1 | 1 | 2022 |
| Foot of Perpendicular | 1 | 1 | 2016 |
| Section Formula | 1 | 1 | 2017 |
| Skew and Intersecting Lines | 1 | 1 | 2022 |
How to practise Three Dimensional Geometry PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Three Dimensional Geometry questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.
CBSE Class 122026
- Q.16 (Mathematics (65/1/1)) · MCQ · Distance from Axis: Perpendicular length from a point to a coordinate-axis line PDF
- Q.20 (Mathematics (65/1/1)) · Assertion-Reason · Angle Between Lines: A-R on perpendicularity condition for two lines in parametric form PDF
- Q.35 (Mathematics (65/1/1)) · Long answer · Shortest Distance Between Lines: Check if two lines are parallel; find distance or intersection PDF
CBSE Class 122025
CBSE Class 122024
- Q.9 (Mathematics (65/1/1)) · MCQ · Direction Cosines: Value of k when direction cosines are all equal multiples of k PDF
- Q.16 (Mathematics (65/1/1)) · MCQ · Distance from Axis: Distance of point P(a, b, c) from the y-axis PDF
- Q.20 (Mathematics (65/1/1)) · Assertion-Reason · Direction Cosines: A-R on no line being perpendicular to all three axes PDF
- Q.35 (Mathematics (65/1/1)) · Long answer · Image of a Point: Find P given its image in a line is P'(1, 0, 7) PDF
CBSE Class 122023
- Q.11 (Mathematics (65/1/1)) · MCQ · Direction Cosines: Direction cosines of a line in symmetric form PDF
- Q.20 (Mathematics (65/1/1)) · Assertion-Reason · Equation of Line: A-R on the two-point form of a line in space PDF
- Q.34 (Mathematics (65/1/1)) · Long answer · Equation of Line: Line through a point parallel to AB and distance between the lines PDF
CBSE Class 122022
- Q.6 (Mathematics Term 2 (65/1/1)) · Short answer I · Distance from Plane: Values of lambda for a point at given distance from a plane PDF
- Q.8 (Mathematics Term 2 (65/1/1)) · Short answer II · Equation of Plane: Plane through intersection of two planes and a given point PDF
- Q.14 (Mathematics Term 2 (65/1/1)) · Case-based · Skew and Intersecting Lines: Case study: check two wire lines are coplanar and find intersection PDF
CBSE Class 122020
- Q.5 (Mathematics (65/1/1)) · MCQ · Equation of Line: Vector line through a point perpendicular to the plane z = 0 PDF
- Q.8 (Mathematics (65/1/1)) · MCQ · Distance from Axis: Length of perpendicular from a point to the y-axis PDF
- Q.25 (Mathematics (65/1/1)) · Short answer · Angle Between Lines: Find k so two lines in symmetric form are perpendicular PDF
- Q.36 (Mathematics (65/1/1)) · Long answer II · Equation of Plane: Plane through a point perpendicular to two planes' intersection line; angle with y-axis PDF
CBSE Class 122019
- Q.4 (Mathematics (65/1/1)) · Very short answer · Direction Cosines: Direction cosines of a line from its angles with the axes PDF
- Q.23 (Mathematics (65/1/1)) · Long answer I · Angle Between Lines: Find lambda so two lines are perpendicular; check if they intersect PDF
- Q.27 (Mathematics (65/1/1)) · Long answer II · Equation of Plane: Plane through three points and a parallel plane through a point PDF
CBSE Class 122018
CBSE Class 122017
- Q.4 (Mathematics (65/1)) · Very short answer · Distance Between Planes: Distance between two parallel planes PDF
- Q.9 (Mathematics (65/1)) · Short answer · Section Formula: z-coordinate of a point on line PQ with given x-coordinate PDF
- Q.29 (Mathematics (65/1)) · Long answer II · Line and Plane Intersection: Point where a line crosses the plane through three points PDF
CBSE Class 122016
- Q.4 (Mathematics (65/1/N)) · Very short answer · Equation of Plane: Sum of intercepts cut by a given plane on the axes PDF
- Q.18 (Mathematics (65/1/N)) · Long answer I · Foot of Perpendicular: Foot of perpendicular from a point to line BC and its image PDF
- Q.24 (Mathematics (65/1/N)) · Long answer II · Equation of Plane: Plane through intersection of two planes with equal x and y intercepts PDF
Other Mathematics chapters
- Relations and Functions PYQs
- Inverse Trigonometric Functions PYQs
- Matrices PYQs
- Determinants PYQs
- Continuity and Differentiability PYQs
- Application of Derivatives PYQs
- Integrals PYQs
- Application of Integrals PYQs
- Differential Equations PYQs
- Vector Algebra PYQs
- Linear Programming PYQs
- Probability PYQs
FAQ
How many Three Dimensional Geometry questions come in CBSE Class 12?
In the official papers we tagged: 3 in 2026, 2 in 2025, 4 in 2024, 3 in 2023, 3 in 2022, 4 in 2020, 3 in 2019, 2 in 2018, 3 in 2017 and 3 in 2016. That is 30 questions in all, about 10% of Mathematics.
Which Three Dimensional Geometry topics repeat in CBSE Class 12?
Asked in the most papers: Equation of Plane, Direction Cosines, Distance from Axis. The concept table lists every one with its count.
Are these official CBSE Class 12 questions?
Yes. Every question is from an official CBSE Class 12 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.