Advertisements
Advertisements
Question
The following statement is true or false? Give reason for your answer.
There are an infinite number of lines which pass through two distinct points.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
Because only one line passes through two distinct points, in the following figure, it can be seen that only one line passes through points P and Q.
APPEARS IN
RELATED QUESTIONS
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
In the following figure, if AC = BD, then prove that AB = CD.
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?
In ancient India, the shapes of altars used for household rituals were ______.
‘Lines are parallel, if they do not intersect’ is stated in the form of ______.
The edges of a surface are curves.
“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 AC = DC, CB = CE. Show that AB = DE.
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.
