Math, asked by SRSRSR, 1 year ago

two distinct lines cannot have more than one point in common

Answers

Answered by gracia53
1
Two distinct lines cannot have more than one point in common. Thus, onlyone line passes through two distinct points P & Q. But here we assumedboth in 1 and 2 .

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Answered by Anonymous
4
Yes it

Given:AB and Cd are line segment
To prove,One point in common
Proof,: AB intersect two distinct points say P and Q ,Hence it contains P and Q.similarly CD passes and contains P and Q ,But according to axiom ,One line can pass Throught two different points
So our assumption clashes with the axiom that two distict lines can have more than one point is wrong ,

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

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