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CBSE Notes 2011-2012 » XI-Maths

# Sets

## Classify the following as finite or infinite set: (i) Set of integers greater than 1000. (ii) Set of...

Classify the following as finite or infinite set:
(i) Set of integers greater than 1000. (ii) Set of concentric circles,
(iii) Set of circles passing through three non-col linear points.
(iV) Set of letters of Hindi alphabet. (v) {x EE R : 0 < x < 1}
(vi) {x EE 1 : 0 < x < 2} (vii) The set of prime numbers less than 99.
(Viii) {1,2, 3,..... 99, 100}.

## If U = Number of students in class XI of school S and A = Number of girls in class XI of school S. F...

If U = Number of students in class XI of school S and A = Number of girls in class XI of school S. Find A'.

## If A = {2x :x EE N}, B = {3x;x EE N}, C = {5x;x EE N}, then find (i) A NN B (ii) B NN C (iii) (A NN ...

If A = {2x :x EE N}, B = {3x;x EE N}, C = {5x;x EE N}, then find
(i) A NN B (ii) B NN C (iii) (A NN B) NN C.

## Which of the following sets are well defined sets ? (i) Ali weaker students of a school. (ii) All pr...

Which of the following sets are well defined sets ?
(i) Ali weaker students of a school. (ii) All prime numbers less than 10.
(iii) All days of a week beginn ing with T. (iv) Difficult problems in Mathematics,
(v) Popular leaders of the country. (vi) Students of class XI of a particular school.
(vii) A collection of all months of a year beginning with letter J.
(viii) A collection of all even integers.
(ix) A team of eleven best cricket batsmen of the world.
(x) A collection of most dangerous animals of the world.

## Write the members of each of the following sets : (i) Days of a week. (ii) Months of the year beginn...

Write the members of each of the following sets :
(i) Days of a week. (ii) Months of the year beginning with D.
(iii) Prime numbers less than 10.
(iv) Natural numbers between 1 and 50 which are squares of a natural numbers between 1 and 10.
(v) Factors of 18.
(vi) {x : x is a consonant in the English alphabet which precedes K}.