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Q.

State whether the statement is true or false.


Two intersecting lines cannot be parallel to the same line.


Question Image

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a

False  

b

True

answer is A.

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Detailed Solution

When two or more lines cross each other in a plane, they are known as the intersecting lines.
Parallel lines are defined as the lines in a plane that do not intersect.
Analyzing two intersecting lines AB and CD which intersect at a common point O.
Question Image      The parallel lines are the lines that never intersect one another.
Thus, two parallel lines cannot be parallel to the same line.
Hence, option 1 is correct, and the given statement is true.
 
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