Easy
State whether the following statement is true or false:
Two distinct lines cannot have more than one point in common.
Two distinct lines cannot have more than one point in common.
(TRUE) The statement is True.
According to Euclid's axioms and the fundamental properties of Euclidean geometry,two distinct lines can intersect at most at one point. If they were to share more than one point,they would coincide and become the same line,which contradicts the premise that the lines are distinct.
According to Euclid's axioms and the fundamental properties of Euclidean geometry,two distinct lines can intersect at most at one point. If they were to share more than one point,they would coincide and become the same line,which contradicts the premise that the lines are distinct.
Explore More
Similar Questions
State whether the following statement is true or false:
Only one line can pass through a single point.
Only one line can pass through a single point.
Easy
View SolutionThe number of interwoven $\ldots \ldots$ triangles in Sriyantra (in the Atharvaveda) is nine.
Easy
View SolutionThe boundaries of the solid are ...........
Easy
View SolutionEuclid's second axiom is:
Easy
View SolutionJohn is of the same age as Mohan. Ram is also of the same age as Mohan. State the Euclid's axiom that illustrates the relative ages of John and Ram.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo