CBSE Class 11 - Mathematics - CH1 - Sets (Unit Test Paper) (#cbseNotes)

Sets 

(Unit Test Paper)

CBSE Class 11 - Mathematics

1. Write the set of all vowels in the English alphabet which precede k. [1]

2. Is pair of sets equal? Give reasons. [1]
A = {2, 3} B = x : x is solution of x 2 + 5x + 6 = 0}

3. Write the following intervals in set builder form: [1]
(-3, 0) and [6, 12]

Class 11 - Mathematics - Chapter 1– SETS (NCERT Exercise 1.1) (#CBSENotes)

SETS

Class 11 - Mathematics  

NCERT Exercise 1.1

Question 1: Which of the following are sets? Justify your answer.

(i) The collection of all months of a year beginning with the letter J.
(ii) The collection of ten most talented writers of India.
(iii) A team of eleven best-cricket batsmen of the world.
(iv) The collection of all boys in your class.
(v) The collection of all natural numbers less than 100.
(vi) A collection of novels written by the writer Munshi Prem Chand.
(vii) The collection of all even integers.
(viii) The collection of questions in this Chapter.
(ix) A collection of most dangerous animals of the world.


Answer:

(i) Yes
The collection of all months of a year beginning with the letter J is a well-defined collection of objects since one can definitely identify a month that belongs to this collection. Hence, this collection is a set.

(ii) No
The collection of ten most talented writers of India is not a well-defined collection because the criteria for determining a writer’s talent may vary from person to person. Hence, this collection is not a set.

(iii) No
A team of eleven best cricket batsmen of the world is not a well-defined collection because the criteria for determining a batsman’s talent may vary from person to person. Hence, this collection is not a set.

(iv) Yes
The collection of all boys in your class is a well-defined collection because you can definitely identify a boy who belongs to this collection. Hence, this collection is a set.

(v) Yes
The collection of all natural numbers less than 100 is a well-defined collection because one can definitely identify a number that belongs to this collection. Hence, this collection is a set.

(vi) Yes
A collection of novels written by the writer Munshi Prem Chand is a well-defined collection because one can definitely identify a book that belongs to this collection. Hence, this collection is a set.

(vii) Yes
The collection of all even integers is a well-defined collection because one can definitely identify an even integer that belongs to this collection. Hence, this collection is a set.

(viii) Yes
The collection of questions in this chapter is a well-defined collection because one can definitely identify a question that belongs to this chapter. Hence, this collection is a set.

(ix) No
The collection of most dangerous animals of the world is not a well-defined collection because the criteria for determining the generousness of an animal can vary from person to person. Hence, this collection is not a set.

CBSE Class 9, 10, 11, 12 - Mathematics - Know about Special Constants

Know about Special Constants

Change is the only constant in our lives. However, there are constants or constant numbers that are frequently used in the domains of Science, Mathematics, Economics etc.

Do you know what is golden ratio?

What is the value of Pi?

What are transcendental numbers?

What's the value of cube root of 2?

CBSE - Class 6-12 - Mathematics - Important Formulas

Mathematics - Important  Formulas 

eduvictors.com has added a new section "Mathematics" and has compiled important formulas on different topics.

Here is the list of Mathematics formulas:

1. Algebra Formulas

⓵ Polynomials
⓶ Fractions
⓷ Algebraic Identities
⓸ Exponents
⓹ Roots