Q. 164.0( 4 Votes )

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

Answer :

Suppose lines “l” and “m” intersect at two points P and Q. Then, line P must contain both the points P and Q.

Also, line m must contain both the points P and Q.

But only one line can pass through two different points.

Thus, the assumption we started with that two lines can pass through two distinct point is wrong.

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