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Q.

State whether the following statement is true or false.


A terminated line can be produced indefinitely on both sides.


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a

True

b

False 

answer is A.

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Detailed Solution

Here, we have to find whether a terminated line can be produced indefinitely on both sides or not.
Euclid’s Postulate 2: A terminated line can be produced indefinitely.
Let’s consider a terminated line AB which is terminated on endpoints A and B.
Question Image Using Euclid’s Postulate 2, the terminated line AB can be extended on both sides of the endpoints.
Question Image Therefore, a terminated line can be produced indefinitely on both sides.
Thus, the given statement is true.
Hence, option (1) is correct.
 
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