State whether the following statement is true or false.

There are an infinite number of lines that pass through two distinct points.

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True

False

answer is B.

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Detailed Solution

The given statement is false.
Concept- We can locate this assertion is proper or false using the Euclid’s axiom which states that given distinct factors, there may be a completely unique line that passes via them.
We recognise Euclid’s axiom as the announcement “Given awesome points, there may be a completely unique line that passes through them”. We take factors A and B everywhere on the surface which might be distinct from every other.
Question Image

Therefore, by Euclid’s axiom said above we can say that a unique line passes through two distinct points and this would be the right statement.
Hence, the correct option is 2) false.

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