Q. 364.7( 3 Votes )

# L, M, N are three lines in the same plane such that L intersects M and M‖N. Show that L intersects N also.

Answer :

Assume L will not intersect N.

Then, L ||N and it is given that M || N.

According to our assumption, L || M which is contradictory to given statement that L intersects M.

So, our assumption is wrong.

Thus, L will intersect N also.

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