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प्रश्न
How many planes can be made to pass through two points?
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उत्तर
Given two distinct points, we can draw many planes passing through them. Therefore, infinite number of planes can be drawn passing through two distinct points or two points can be common to infinite number of planes.
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संबंधित प्रश्न
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
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
In how many points a line, not in a plane, can intersect the plane?
How many least number of distinct points determine a unique plane?
How many planes can be made to pass through three distinct points?
Which of the following needs a proof?
The boundaries of the solids are curves.
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.
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 statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
