हिंदी

How many least number of distinct points determine a unique line? - Mathematics

Advertisements
Advertisements

प्रश्न

How many least number of distinct points determine a unique line?

संक्षेप में उत्तर
Advertisements

उत्तर

If we have a single point A then we can draw infinite number of lines through it, while if we have two points A and B; then only one unique line passes through both of them.

When we have one point,

When we have two points,

Therefore, a minimum of two distinct points are required to determine a unique line.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Introduction to Euclid’s Geometry - Exercise 9.2 [पृष्ठ ९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
अध्याय 9 Introduction to Euclid’s Geometry
Exercise 9.2 | Q 1 | पृष्ठ ९

वीडियो ट्यूटोरियलVIEW ALL [1]

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?

parallel lines


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?

perpendicular lines


Consider two ‘postulates’ given below:-

  1. Given any two distinct points A and B, there exists a third point C which is in between A and B.
  2. There exist at least three points that are not on the same line.

Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.


In how many lines two distinct planes can intersect?


How many planes can be made to pass through two points?


Which of the following needs a proof?


The edges of a surface are curves.


Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.


Read the following statements which are taken as axioms:

  1. If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
  2. If a transversal intersect two parallel lines, then alternate interior angles are equal. 

Is this system of axioms consistent? Justify your answer.


Read the following axioms:

  1. Things which are equal to the same thing are equal to one another.
  2. If equals are added to equals, the wholes are equal.
  3. Things which are double of the same thing are equal to one another.

Check whether the given system of axioms is consistent or inconsistent.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×