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Euclid's Parallel Postulate and Playfair's Axiom

Given a line ...

Question

Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line. This statement is ________

A

Euclid's parallel axiom

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B

Playfair's postulate

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C

Euclid's postulate

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D

Playfair's theorem

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Solution

The correct option is B Playfair's postulate
Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line. This statement was given by Playfair called as Playfair's postulate.

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Euclid's Parallel Postulate and Playfair's Axiom

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