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Which of these is an equivalent version of Euclid's fifth postulate, given by John Playfair?

Class 9The Fifth PostulateGeometry — Foundations
  • AThrough a point not on a line, exactly one parallel line can be drawn
  • BThrough a point not on a line, no parallel line can be drawn
  • CThrough a point not on a line, two parallel lines can be drawn
  • DAll right angles are equal

Step-by-Step Solution

Playfair's axiom: for a given line and a point not on it, exactly one line parallel to the given line can be drawn through the point.
Answer: A) Through a point not on a line, exactly one parallel line can be drawn

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