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प्रश्न
In how many points a line, not in a plane, can intersect the plane?
उत्तर
A line which is not present in the plane can intersect the plane at only one single point.
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संबंधित प्रश्न
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
line segment
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
radius of a circle
In the following figure, if AC = BD, then prove that AB = CD.
In how many points two distinct lines can intersect?
How many planes can be made to pass through three distinct points?
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The edges of a surface are curves.
The statements that are proved are called axioms.
Read the following statement :
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
Read the following axioms:
- Things which are equal to the same thing are equal to one another.
- If equals are added to equals, the wholes are equal.
- Things which are double of the same thing are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.
