Explain playfair axiom . Share with your friends Share 0 Chhavi Singh answered this Playfair axiom states that in a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point. 0 View Full Answer Dhwani Tyagi answered this In geometry,?Playfair's axiom?is anaxiom?that can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point. 1