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State whether the given statement is true or false.

$L, M, N$ are three lines in the same plane such that $L$ intersects $M$ . L does not intersect N.

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True

False

answer is B.

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Detailed Solution

From the figure,

M ∥ N

and

M

intersects

L

Extending

L

downwards to

N

L

is a line so it can be extended infinitely.
Question Image

M ∥ N

they will never intersect with each other.
Hence, they will always intersect at some point.
Locating the point where

L

and

N

intersect.
Question Image

The point of intersection exists because

L ∥ N

,
Thus, it is evident from the diagram that they will intersect each other at some point
Therefore, the given statement is false.

L

intersects

N

because

L ∥ N

.
Hence, option 2 is correct.

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