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A teacher in Pune asks: 'Why can two distinct lines never have two points in common?'
The best Euclid-based reason is:

Class 9Euclid's PostulatesGeometry — Foundations
  • ATwo points determine a unique line, so two common points would make them the same line
  • BLines have no breadth
  • CAll right angles are equal
  • DA circle needs a centre

Step-by-Step Solution

If two distinct lines shared two points, then through those two points two different lines would pass, contradicting the uniqueness from Postulate 1. Hence they share at most one point.
Answer: A) Two points determine a unique line, so two common points would make them the same line

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