Introduction To Three- Dimensional Geometry — Important Questions
Telangana Open School (TOSS) · Class 12 · Mathematics
57 important questions from Introduction To Three- Dimensional Geometry for Telangana Open School (TOSS) Class 12 Mathematics, with answers.
Interactive on Super Tutor
Studying Introduction To Three- Dimensional Geometry? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
Free trial, no card needed.
Important Questions from Introduction To Three- Dimensional Geometry
If a point has coordinates (0, 0, 5), where does it lie?
Show answer
On Z-axis
When x = 0 and y = 0, the point lies on the Z-axis.
The direction cosines of the X-axis are:
Show answer
1, 0, 0
The X-axis makes 0° with X-axis and 90° with Y and Z axes. So cos0° = 1, cos90° = 0, 0.
The projection of the point (4, 5, 6) on the XY-plane is:
Show answer
(4, 5, 0)
Projection on XY-plane means z = 0, so (4, 5, 0).
The distance between (1, 1, 1) and (4, 5, 6) is:
Show answer
7 units
Distance = √((4-1)² + (5-1)² + (6-1)²) = √(9 + 16 + 25) = √50 ≈ 7.07 ≈ 7 units.
+53 more questions on Introduction To Three- Dimensional Geometry (Telangana Open School (TOSS) Class 12 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Introduction To Three- Dimensional Geometry for Telangana Open School (TOSS) Class 12 Mathematics?
How many important questions are there in Introduction To Three- Dimensional Geometry?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Introduction To Three- Dimensional Geometry
Practice Quiz
Test yourself with a quick quiz
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Introduction To Three- Dimensional Geometry chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Open School (TOSS) Class 12 Mathematics. Free to start, no card needed.