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Introduction To Three- Dimensional Geometry — Practice Quiz

Telangana Open School (TOSS) · Class 12 · Mathematics

Try a 4-question quiz on Introduction To Three- Dimensional Geometry for Telangana Open School (TOSS) Class 12 Mathematics: tap an answer to check it.

57 questions24 flashcards13 formulas & key relations5 concepts

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Quick Quiz: Introduction To Three- Dimensional Geometry

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1

In which octant does the point (3, 4, 5) lie?

2

What is the distance of the point (2, 3, 6) from the origin?

3

Which of the following points lies on the YZ-plane?

4

The coordinates of the midpoint of the line segment joining (1, 2, 3) and (3, 4, 5) are:

57 Questions·
multiple choicetrue false

Sample Questions

1multiple choice
1 marks

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.

2multiple choice
1 marks

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.

3multiple choice
1 marks

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).

4multiple choice
1 marks

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)

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Frequently Asked Questions

What are the important topics in Introduction To Three- Dimensional Geometry for Telangana Open School (TOSS) Class 12 Mathematics?
Key topics in Introduction To Three- Dimensional Geometry include Coordinate System and Coordinates of a Point in Space, Distance Between Two Points in Space, Section Formula in 3D, Direction Cosines and Direction Ratios. Study these first, then practise questions on each for the Telangana Open School (TOSS) Class 12 board exam.
How many practice questions are there for Introduction To Three- Dimensional Geometry?
There are 57 questions on Introduction To Three- Dimensional Geometry. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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