Question

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

Answer 1

Let l and m be two distinct lines .

If possible , let P and Q be two points common to l and m . Then l contains both points P and Q . And , m also contains both the points P and Q . But , there is only one line passing through two distinct points .

Therefore, l = m

This indicates the hypothesis that l and m are distinct .

Thus , our supposition is wrong .

Hence , two distinct lines cannot have more than one point in common .


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