Check the given statement is true or false:

Two distinct intersecting lines cannot be parallel to the same line.

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True

False

answer is A.

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Detailed Solution

It is given that two distinct lines intersect.
Now we want to check if intersecting lines can be parallel to the same line or not.
Two intersecting lines cannot be parallel to same line as this statement is equivalent to Euclid's fifth postulate.
Which is,“if a straight line falling on two straight lines makes the interior angles on the same side of it, taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is taken together less than two right angles”.
Hence, “Two distinct intersecting lines cannot be parallel to the same line” is true.
So the correct option is 1.

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