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Question

One or more options are correct:

Which of the following is/are infinite set?


A

The set of all lines parallel to Y-axis

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B

Set of all atoms in solar system

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C

Set of letters in English alphabet

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D

Set of circles passing through (0, 0)

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Solution

The correct options are
A

The set of all lines parallel to Y-axis


D

Set of circles passing through (0, 0)


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 - There are infinite number of circles that can have centre as (0, 0)

So, A & D are infinite sets.


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