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1. find a counterexample to this conjecture: if two lines...
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by
WinpossibleUser3715
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1. find a counterexample to this conjecture: if two lines intersect, then any third coplanar line intersects both of them.
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Responses
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Counterexample of the above conjecture:
Let us take 3 coplaner lines AB(q),CD(s) and EF(t).
Hence, as per the question let us assume q and t intersect each other and third line(s) is parallel to l then it will intersect m, but it will not intersect l so the above conjecture is not always true.
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by
Winpossible
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Sep 03, 10 07:00AM PST
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Edited Answer:
Counterexample of the above conjecture:
Let us take 3 coplaner lines AB(q), CD(s) and EF(t).
Hence, as per the question let us assume q and t intersects each other and third line(s) is parallel to q, then it will intersect t; but it will not intersect q, so the above conjecture is not always true.
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by
Winpossible
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Sep 03, 10 07:37AM PST
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