Math, asked by Nibasini, 1 year ago

prove that two distinct lines cannot have more than one point in common

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Answered by Aniketastronaut
5
Two distinct lines cannot have more than one point in common. Thus, onlyone of line passes through two distinct points P & Q

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Answered by Anonymous
7
Firstly to proof this statement we consider that the two lines l and m intersect in two distinct points R and S.
As we assume this, this will clash with axiom that two given distinct points, only unique line cab be passed through them.
Hence our assumption is wrong, so correct statement is that Two distinct lines cannot have more than one point in common.
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