Question

Set of intersecting points of parallel lines. Are empty set or not

Answer 1

Yes, the Set of intersecting points of parallel lines is the empty set.

Explanation:

• Since 2 parallel lines never meet, the set of points of intersection of 2 parallel lines can have no elements.

• According to Euclid's geometry, no 2 parallel lines won't meet one another. so the purpose of the intersection of 2 parallel lines is a null set.

• A set that does not contain any element is named the empty set or the null set or the void set.

• The parallel lines are never intersecting with each other, therefore, any point lying on the 2 parallel distinct lines, will never be common with one another. So, The set of intersecting points of parallel lines are will be Empty Set, ∅.

Hence, the Set of intersecting points of parallel lines is the empty set.