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
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?
square
If a point C lies between two points A and B such that AC = BC, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)
In how many points a line, not in a plane, can intersect the plane?
How many planes can be made to pass through a line and a point not on the line?
Greek’s emphasised on ______.
Which of the following needs a proof?
The boundaries of the solids are curves.
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.
