Question

7

Prove that “Two distinct lines cannot have more than one point in common”

Answer 1

Given - The lines l and m are distinct .

To prove - Prove they have one point in common

Proof : Here we are given two lines l and m. We need to prove that they have only one point in common.

Let us suppose that the two lines intersect in two distinct points, say P and Q. So, you have two lines passing through two distinct points P and Q. But this assumption clashes with the axiom that only one line can pass through two distinct points. So, the assumption that we started with, that two lines can pass through two distinct points is wrong. From this, what can we conclude? We are forced to conclude that two distinct lines cannot have more than one point in common.

HENCE PROVED ....


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Answer 2

Step-by-step explanation:

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