Question

Which of the following sets are empty sets?

(A) Set of intersecting points of parallel lines. 

(B) Set of even prime numbers.

(C) Month of an english calendar having less than 30 days. 

(D) P = {x | x ∈ I , – 1 < x < 1}

Answer 1

Correct option is  (A) Set of intersecting points of parallel lines.

Hints: 

v. Here, P ⊆ M 

∴ P ∪ M = M 

∴ P ∩ (P ∪ M) = P ∩ M 

= P … [∵ P ⊆M]