### State whether each of the following set is finite or infinite :

(i) The set of lines which are parallel to the x-axis(ii) The set of letters in the English alphabet

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

(iv) The set of animals living on the earth

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

Answer

**(i)**Infinity numbers of parallel line to the x-axis are possible.

Hence, the set of lines which are parallel to the x-axis is an infinite set

**(ii)**There are 26 elements in English alphabet.

Hence, the set of letters in the English alphabet is a finite set

**(iii)**Multiples of 5 are infinite. Hence the set of numbers which are multiple of 5 is an infinite set.

**(iv)**The number of animals living on the earth is a certain number.

Hence the set of animals living on the earth is a finite set.

**(v)**infinity number of circle can be draw using different radius using origin (0 ,0) as a centre.

Hence the set of circles passing through the origin (0, 0) is an infinite set

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