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Which of the ...

Question

Which of the following is an infinite set?

The set of all lines parallel to Y-axis

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Set of all atoms in solar system

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Set of letters in English alphabet

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Set of circles that can have centre as (0, 0) and radius of 1cm

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Solution

The correct option is A
The set of all lines parallel to Y-axis

An infinite set is a set that is not a finite set. A finite set is a set that has a finite number of elements.

A - There are infinite lines parallel to y-axis

B - Though we may not count number of atoms, we can be sure that the number is large and it is a finite number.

C - Number of elements in the set of letters in English alphabet is finite.

D - Number of circles that can have centre as (0, 0) and radius of 1cm is finite.

So, A is an infinite set.

Suggest Corrections

Similar questions

State whether each of the following sets 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 multiples of 5.

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

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

5

(i)

x -

(i i)

(i i i)

5

(i v)

(v)

(0, 0)

Which of the following sets are finite and which are infinite ?

(i) Set of concentric circles in a plane.

(ii) Set of letter of the English Alphabets.

(iii) { $x ϵ N; x > 5$ }

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