Advertisements
Advertisements
प्रश्न
How many lines can be drawn through a given point.
Advertisements
उत्तर
Given a single point, then we can draw infinite number of lines through that point.
For example: If we have a point A, then there are infinite numbers of lines passing through it.
Here, lines m, n, o and p all pass through point A.
APPEARS IN
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?
perpendicular 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?
radius of a circle
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- 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.
How many planes can be made to pass through three distinct points?
The number of dimensions, a solid has ______.
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have BX = `1/2` AB, BY = `1/2` BC and AB = BC. Show that BX = BY.
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.
The following statement is true or false? Give reason for your answer.
A terminated line can be produced indefinitely on both the sides.
The following statement is true or false? Give reason for your answer.
If two circles are equal, then their radii are equal.
