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Riya marks three points P, Q, R on a sheet such that no point lies on the line through the other two (they are non-collinear).
She joins every possible pair of points by a straight line segment.
Using Euclid's first postulate, how many distinct segments does she draw?

Class 9Euclid's PostulatesGeometry — Foundations
  • A3
  • B2
  • C6
  • D4

Step-by-Step Solution

Each pair of distinct points gives one segment. Pairs from {P,Q,R}: PQ, QR, PR = 3 segments. (They form a triangle.)
Answer: A) 3

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