State whether the following statement is true or false.

The two statements given below follow Euclid’s postulates.

(a) Given any two distinct points A and B, there exists a third point C which is in between A and B.

(b) There exist at least three points that are not on the same line.

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True

False

answer is B.

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Detailed Solution

Considering the given two postulates.
(a) Given any two distinct points A and B, there exists a third point C which is in between A and B.
(b) There exist at least three points that are not on the same line.
These two statements do not follow Euclid’s Postulates as there is no postulate that refers to the third point on the line or not on the line.
Therefore, the given two statements do not follow Euclid’s postulates.
Thus, the given statement is false.
Hence, option (2) is correct.

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