Which of the following are examples of empty set? (i) Set of all even natural numbers divisible by 5. (ii) Set of all even prime numbers. (iii) {x: x^2 – 2 = 0 and x is rational }. (iv) {x: x is a natural number, x less than 8 and simultaneously x greater than 12}. (v) {x: x is a point common to any two parallel lines }. Watch Solution
Which of the following sets are finite and which are infinite? (i) Set of concentric circles in a plane. (ii) Set of letters of the English Alphabets. (iii) (x ∈N : x > 5} (iv) {x ∈N : x < 200} (v) {x ∈Z : x < 5} (vi) {x ∈R : 0 < x < 1}. Watch Solution
Which of the following sets are equal? (i) A = {1, 2, 3} (ii) B= {x∈R : x^2 -2x +1 = 0} (iii) C = {1, 2, 2, 3} (iv) D= {x∈R : x^3 – 6x^2 + 11x – 6 = 0}. Watch Solution
Are the following sets equal? A = {x : x is a letter in the word reap}, B = {x: x is a letter in the word paper), C = {x : x is a letter in the word rope} Watch Solution
From the set given below, pair the equivalent sets A = {1, 2, 3}, B = {t, p ,q, r, s}, C = {α, β, γ}, D = {a, e, i, o, u}. Watch Solution
Are the following pairs of sets equal? Give reasons. (i) A = {2, 3}, B = {x: x is a solution of x^2 + 5x + 6 = 0} (ii) A = {x:x is a letter of the word “WOLF”}, B = {x: x is a letter of the word “FOLLOW”} Watch Solution
From the sets given below, select equal sets and equivalent sets. A = {0, a}, B = {1, 2, 3, 4}, C = {4, 8, 12}, D = {3, 1, 2, 4}, E = {1, 0}, F = {8, 4, 12}, G = {1,5,7,11}, H = {a, b} Watch Solution
Which of the following sets are equal? A = {x: x∈ N, x < 3), B = {1,2},C = {3,1}, D= {x: x∈ N, x is odd, x < 5}, E = {1,2,1,1}, F = {1,1, 3}. Watch Solution
Show that the set of letter needed to spell “CATARACT” and the set of letters needed to spell “TRACT” are equal. Watch Solution
Is following an example of empty set ? Set of all even natural number divisible by 5. Watch Solution
Is following an example of empty set ? Set of all even prime numbers. Watch Solution
Is following an example of empty set ? {x : x^2 – 2 = 0 and x is rational}. Watch Solution
Is following an example of empty set ? {x : x is a natural number, x < 8 and simultaneously x > 12}. Watch Solution
Is following an example of empty set ? {x : x is a point common to any two parallel lines}. Watch Solution
Is following set finite or infinite set ? Set of concentric circles in a plane. Watch Solution
Is following set finite or infinite set ? Set of letters of the English Alphabets. Watch Solution
Is following set finite or infinite set ? {x ∈ N: x greater than 5} Watch Solution
Is following set finite or infinite set ? {x ∈ N: x less than 200} Watch Solution
Is following set finite or infinite set ? {x ∈ Z: x < 5} Watch Solution
Is following set finite or infinite set ? {x ∈ R : 0 < x < 1}. Watch Solution
