Introduction To Three- Dimensional Geometry
Telangana Open School (TOSS) · Class 12 · Mathematics
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Quick Quiz: Introduction To Three- Dimensional Geometry
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In which octant does the point (3, 4, 5) lie?
What is the distance of the point (2, 3, 6) from the origin?
Which of the following points lies on the YZ-plane?
The coordinates of the midpoint of the line segment joining (1, 2, 3) and (3, 4, 5) are:
Sample Questions
If a point has coordinates (0, 0, 5), where does it lie?
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On Z-axis
When x = 0 and y = 0, the point lies on the Z-axis.
The direction cosines of the X-axis are:
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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:
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(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:
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7 units
Distance = √((4-1)² + (5-1)² + (6-1)²) = √(9 + 16 + 25) = √50 ≈ 7.07 ≈ 7 units.
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