Question

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

Answer 1

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Two distinct lines cannot have more than one point in common. ... Given two distinct points, there is a unique line that passes through them. Thus, only one line passes through two distinct points P & Q. But here we assumed both l 1 & l 2 pas through P & Q.

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Answer 2

Two distinct lines cannot have more than one point in common. ... Given two distinct points, there is a unique line that passes through them. Thus, only one line passes through two distinct points P & Q. But here we assumed both l 1 & l 2 pas through P & Q.