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If the fifth postulate is replaced so that MORE THAN ONE parallel line passes through an external point, the geometry is called:

Class 9The Fifth PostulateGeometry — Foundations
  • Ahyperbolic geometry
  • BEuclidean geometry
  • Cplane geometry
  • Dspherical geometry

Step-by-Step Solution

Allowing infinitely many parallels through a point gives hyperbolic (Lobachevskian) geometry.
Answer: A) hyperbolic geometry

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