Answer :

We know that an empty set is a finite set. A set which does not contain any element is called an empty set.

(i) Let ‘L’ be the set of lines passing through a point. Then L is infinite. So, it is not an empty set.

(ii) Let ‘O’ be the set of odd natural numbers divisible by 2.

But only even numbers are divisible by 2.

∴ O = ϕ = Empty set

(iii) {x: x is a natural number x < 5 and x > 7}

⇒ If x < 5 and x > 7, then

⇒ x = ϕ = Empty Set

(iv) {x : x is a common point to any two parallel lines}

We know that two parallel lines do not intersect. So, there is no common point.

∴ x = ϕ = Empty set

(v) Set of even prime numbers

Let ‘E’ be the set of even prime numbers.

⇒ E = {2} ≠ ϕ

∴ It is not an empty set.

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