Home
Class 11
MATHS
Which of the following is singleton set ...

Which of the following is singleton set ?
(i) A = {x : x is a letter in English alphabet, comes after Z}
(ii) `B = {0}`
(iii) `C= {x :x + 4=4}`
(iv) `D={x:x^(2)-4x+4=0}`
(v) `E={x:x in N,6ltxlt9}`.

Text Solution

Verified by Experts

The correct Answer is:
(ii),(iii),(iv) are singleton sets
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1C|16 Videos
  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1D|23 Videos
  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1A|7 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos
  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

Which of the following are examples of null set? (i) A={x:x is a vowel in English alphabet } (ii) B = {x:x is an even number, 2lt xlt 4} (iii) C ={x: x in W }

Express each of the following sts as an interval : (i) A={x:x in R, -4 , lt x lt 0} (ii) B={x:x in R, 0 le x lt 3} (iii) C= {x:x in R, 2 lt x le 6} (iv) D= {x:x in R, -5 le x le 2 } (v) E= {x:x in R, -3 le x lt2) (vi) F={x:x in R, -2, le x lt 0}

Which of the following are examples of the singleton set? (i) {x:x in Z, x^2=4} (ii) {x:x in Z, x +5 =0} (iii) {x:x in Z, |x| =1} (iv) {x :x in N, x^2=16} (v) {x:x " is an even prime number "}

List all the elements of the following sets : (i) A = {x : x is an odd natural number} (ii) B = {x : x is an integer, -1/2 (iii) C{x :x is an integer, x^2le4 (iv) D={x: x is a letter in the word loyal} (v) E= {x: x is a month of a year not having 31 days} (vi) F = {x : x is a consonant in the English alphabet which precedes k }.

Which of the following are examples of the null set ? (i) Set of odd numbers divisible by 2. (ii) Set of even prime numbers. (iii) A={x:x in N,1 lt x le 2} (iv) B={x:x in N, 2x + 3=4} (v) C={x:x " is prime ", 90 lt x lt 96} (vi) D={x:x in N, x^2+1=0} (vii) E=={x:x in W, x+3 le 3} (viii) F={x:x in Q, 1 lt x lt 2 } (ix) G={0}

List all the elements of the following sets : (i) A = {x : x is an odd natural number} (ii) B={x:x" is an integer",-(1)/(2)ltxlt(9)/(2)} (iii) C ={x:x " is an integer,"x^(2)le4} (iv) D = {x : x is a letter in the word 'LOYAL'} (v) E = {x : x is a month of a year not having 31 days} (vi) F = {x : x is consonant in the English alphabet which preceedes k}.

State which of the following sets are finite and which are infinite : (i) A={x:x inNand(x-1)(x-2)=0} (ii) B={x:x inNandx^(2)=4} (iii) C={x:x in N and2x-1=0} (iv) E={x:x in N and x is prime} (v) D={x:x inN and x is odd}.

List all the elements of the following sets : (i) A ={x:x is an odd natural number} (ii) B= {x is an integer -(1)/(2)ltxlt(9)/(2)} (iii) C = {x:x is an integer, x^(2)le4} (iv) D= {x:x is a letter in the word LOYAL} (v) E= {x:x is a month of a year not having 31 days}

Which of the following pairs of sets are disjoint ? (i) {1,2,3,4} and {x : x is natural number and 4 le x le 6 } (ii) {a,e,i,o,u} and {c,d,e,f} (iii) {x : x is an even inetger} and {x : x is an odd inetger}.

Which of the following are examples of null set? (i) A ={"x:x is root of equation x + 3 =0 and "x in N} (ii) B ={x:x in Z,9x -8=0} C={x:x is letter of the word MAKE}