CBSE Class 9 Answered
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Let l and m be two lines intersecting at point A
Let us suppose they intersect at one more point B
i.e l and m pass through two distinct points A and B.
But, the Euclid's Postulate 2 states that: Given two distinct points, there is a unique line that passes through them.
So, our supposition is incorrect
Therefore, two distinct lines can not have more than one point in common.
Let us suppose they intersect at one more point B
i.e l and m pass through two distinct points A and B.
But, the Euclid's Postulate 2 states that: Given two distinct points, there is a unique line that passes through them.
So, our supposition is incorrect
Therefore, two distinct lines can not have more than one point in common.
Answered by | 04 Jun, 2014, 03:23: PM
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