Q. 34.1( 50 Votes )

State whether eac

Answer :

(i) Given: The set of lines which are parallel to the x-axis.


As we know set is a collection of well defined objects.


Let we represent the set in set builder form:


S = {x:x is number of parallel lines to x-axis}.


Because the set of lines parallel to x-axis are infinite in number. Hence, I t is an infinite set.


(ii) Given: The set of letters in the English alphabet.


As we know set is a collection of well defined objects.


Let we represent the set in roaster form:


The set of letters in the English alphabet = {A,B,C,…,Z}.


Because the set contain finite alphabet series and having 26 element. Hence, it is a finite set.


(iii) Given: The set of numbers which are multiple of 5


As we know set is a collection of well defined objects.


Let we represent the set in roaster form:


The set of numbers which are multiple of 5 = {5,10,15,…}.


Because the set contain infinite numbers which are multiple of 5.Hence, it is an infinite set.


(iv) Given: The set of animals living on the earth.


As we know set is a collection of well defined objects.


Let we represent the set in set builder form:


S = {x:x is the set of animals living on the earth}.


Because the number of animal living on earth are though too large but they are finite in number. Hence, It is finite set.


(v) Given: The set of circles passing through the origin (0,0).


As we know set is a collection of well defined objects.


Let we represent the set in set builder form:


S = {x:x is the set of circles passing through the origin (0,0)}.


Because the number of circles passing through the origin are infinite in number. Hence, It is an infinite set.


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