Chapter test · Mathematics · Class 12
Three Dimensional Geometry
This test asks up to 25 questions on the real pattern and marking, and hands you a concept-by-concept report the moment you finish. It covers 3 key concepts: Direction cosines and ratios, Lines in space and Skew lines and shortest distance.
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Questions
Up to 25 — 20 MCQ + 5 numerical
Time
60 minutes, fixed
Marking
JEE Main: +4 / −1 on A, +4 / 0 on B
Class
Class 12 · Mathematics
Report
Concept breakdown + cognitive demand, instantly
What this test covers
3 key concepts, tested the way the exam tests them.
Mapped from EduPeak’s learning framework for this chapter — the same map your report scores you against.
- 1Direction cosines and ratios
- Works with direction cosines/ratios and angles between lines.Apply & Analyse
- 2Lines in space
- Applies vector and cartesian line equations to intersection and angle problems.Apply & Analyse
- 3Skew lines and shortest distance
- Computes shortest distance between skew and parallel lines.Apply & Analyse
Level of thinking demanded3 learning objectives
Recall & understandingApply & AnalyseHigher-order
This chapter is tested mostly at the Apply & Analyse level.
In your board
Where this chapter sits in your syllabus.
The same EduPeak test, found under your own textbook’s chapter name.
- CBSEIntroduction to Three Dimensional Geometry · Three Dimensional Geometry✓ in your syllabus
- Gujarat (GSEB)Introduction to Three Dimensional Geometry · Three Dimensional Geometry✓ in your syllabus
- Madhya Pradesh (MPBSE)Introduction to Three Dimensional Geometry · Three Dimensional Geometry✓ in your syllabus
- Rajasthan (RBSE)Introduction to Three Dimensional Geometry · Three Dimensional Geometry✓ in your syllabus
- Bihar (BSEB)Unit-IV Co-ordinate Geometry — Introduction of Three Dimensional Geometry · Unit-IV Vectors and Three-dimensional Geometry — Three-dimensional Geometry✓ in your syllabus
- Uttar Pradesh (UPMSP)निर्देशांक ज्यामिति - त्रिविमीय ज्यामिति का परिचय / Introduction to Three-Dimensional Geometry · सदिश तथा त्रिविमीय ज्यामिति - त्रिविमीय ज्यामिति / Three-Dimensional Geometry✓ in your syllabus
- ISC (CISCE)Coordinate Geometry - Introduction to Three-dimensional Geometry · Three - Dimensional Geometry✓ in your syllabus
- Cambridge International A LevelVectors (P3)partly in your syllabus — the exam asks morelines in 3-D only — planes are not in 9709
- IB Diploma Programme (HL)SL 3.1 Distance and midpoint in three dimensions; solids (Topic 3: Geometry and trigonometry) · AHL 3.14 Vector equation of a line in two and three dimensions (Topic 3: Geometry and trigonometry) · AHL 3.15 Coincident, parallel, intersecting and skew lines (Topic 3: Geometry and trigonometry) · AHL 3.17 Vector equations of a plane (Topic 3: Geometry and trigonometry) · AHL 3.18 Intersections of lines and planes (Topic 3: Geometry and trigonometry)✓ in your syllabus
Try one
A sample question from this chapter.
Drawn fresh from the chapter’s bank on every visit. Reveal the worked solution when you are ready — the way your report explains every question.
SampleMathematics· MCQ+4 / -1
Let be the distance of the point of intersection of the lines and from the point . Then is equal to :
- A.
- B.
- C.
- D.
Worked, step by step — the way your report explains every question. Loads on request.
In the real test, every question is fresh from the chapter’s bank — and your report shows the worked solution for each one.
Keep climbing
Related Class 12 Mathematics chapters
Sets, Relations and FunctionsMatrices and DeterminantsLimits, Continuity and DifferentiabilityIntegral CalculusDifferential EquationsVector Algebra
Good to know
About this chapter test
How is the test scored?
Exactly like JEE Main: +4 for a correct answer, −1 for a wrong MCQ, and no negative marking on numericals. Your total, pacing and concept-by-concept accuracy appear in your report the moment you submit.
Which class is Three Dimensional Geometry in?
Three Dimensional Geometry sits in Class 12 Mathematics here. Pick your class when you start — the whole chapter list is organised the same way.
Can I take it more than once?
Yes — each attempt draws from the chapter’s bank, and your report tracks your best and your progress across attempts.
Is it free?
Free chapter tests are included with every account, and each one comes with the complete report. No card needed to start.
25 questions. 60 minutes. One honest answer.
Find out exactly where you stand on this chapter — today.
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