Question

Do this question

Best answer will be mark as brainlist

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

Answer 1

Hye First of all pls mark me brainliest

Let it be an activity

Given:Let the two distinct line be l¹ and l²
To Prove : l¹ and l² cannot have more than 1 point in common
Proof: We will prove it by contradiction.

Let l¹ and l²have two points in common, P and Q
Now by Axiom 5.1
Given two distinct points there is a unique line passing through them.

So our assumptions is wrong


Therefore,
Two distinct lines cannot have more than one common point

Hence proved

Thus only one line passes through two distinct point P and Q.

But here we assumed both l¹ and l² passes through P and Q.


So ur assumptions is wrong

Hence proved

Now smile
You got your answer