28. Exemplar Exercise Problems XI

Write whether the following statement are True or False? Justify your answer

 

1. “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.FalseTrue 

2. Two distinct intersecting lines cannot be parallel to the same line.FalseTrue 

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