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

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Algebra

NCERT Class 11 - Math

Chapter 1

Sets

Section 2

Sets and their Representations

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Problem 1

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Video Transcript

state whether each of the following sex is finite all infinite in part 1st statement is given the set of light which are parallel to the X axis. So here you can see that the set of lines which are parallel to the X axis is an infinite. Because you can see that here any period line parallel to the X axis. So here we can see it is infinite set. So it is our answer. The set of letters in the english alphabet. So here we know that the number of English alphabets are 26 english alphabet. So here we can say the set of letters in the english alphabet is a finite set. So it is a finite set. It is our answer. The set of numbers which are multiplying of five. So here the set of numbers which are multiplied of five is an infinite set because multiply of five are infinite in number. So here it is an infinite set. So it is our answer. No. We sold part four. This set of animals living on the earth. So here we can get easily the set of animals living on the earth is finite set because the number of animals living on the earth is finite in numbers, because you can't count all the animals on the earth. So here it is a infinite set. So it is our answer. No. He saw part 15, the set of circle passing through the origin zero comma zero. So you can see that set of circle passing through origin. So you can see that infinite number of circles, we can pass through the origin. So here we can say it is a infinite sets, so it is our answer.

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