Introduction To Three- Dimensional Geometry
Telangana Open School (TOSS) · Class 12 · Mathematics
Most important questions from Introduction To Three- Dimensional Geometry for Telangana Open School (TOSS) Class 12 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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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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