Question

Which of the following is a finite set?

• A. The set of positive integers greater than 100.
• B. Set of points common to any 2 parallel lines.
• C. Set of points on a line.
• D. The set of positive integers greater than 1.

Answer 1

The correct option is B Set of points common to any 2 parallel lines.

Option A: Set of integers greater than 100 = {101, 102, - - - -}. This is an infinite set.

Option B : There are no points common to any 2 parallel lines. This is an empty set and so is a finite set.

Option C : There are infinite points on a line. So, this is an infinite set.

Option D : The set of positive integers greater than 1 = {2, 3, 4, - - - -}. This is an infinite set.

$\therefore$ Option B is correct.