The set of circles through the origin (0, 0) finite or infinite

Ex 1.2, 3 (v) - Chapter 1 Class 11 Sets (Term 1)

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Ex 1.2, 3 State whether each of the following set is finite or infinite: (v) The set of circles passing through the origin (0, 0) Infinite number of circles can pass through the origin, so the set will have infinite elements. So, our set is infinite.

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One Line Answer

State whether the following set is finite or infinite:

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

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Solution

The set of circles passing through the origin (0, 0) is an infinite set because infinite number of circles can pass through the origin.

Concept: Finite and Infinite Sets

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Chapter 1: Sets - Exercise 1.2 [Page 8]

Q 3.5Q 3.4Q 4.1

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NCERT Class 11 Mathematics

Chapter 1 Sets
Exercise 1.2 | Q 3.5 | Page 8

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State whether each of the following sets is finite or infinite.

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

We know that infinite number of circles can be drawn passing through 0(0, 0).

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

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Collection of all odd integers.

Collection of all integers is well defined as we know about all the integers that are odd

i.e., {1,3,5,7,9,.....,-1,-3,-5,-7,....}

Hence, the collection forms a set.

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A team of eleven best cricket batsmen in the world. 

The collection of eleven best cricket batsmen in the world is finite and well defined and is therefore a set. 

703 Views

Collection of all the months of a year beginning with the letter J.

The collection of all months of the year beginning with J = {January, June, July}

The collection is well defined and hence it forms a set.

1232 Views

Collection of natural numbers between 100 and 200 (both inclusive).

Collection of natural numbers between 100 and 200 (both inclusive) is well defined as we know about all the natural numbers that fall between the two numbers i.e., {100, 101, 102,...., 199, 200}.

Hence, the collection forms a set.

471 Views

Collection of ten most talented writers of India.

Collection of ten most talented writers of India is a finite  different examples in this chapter is well defined as we know all the different examples in this chapter.

Hence, the collection forms a set.

819 Views

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