Sets and Functions
- Which of the following sets is finite?
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NA
Correct Option: A
NA
- Which of the following sets is finite?
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Since infinite number of lines pass through a point, C is an infinite set.
Correct Option: A
(a) A = { x : x ε Z and x2 – 2x – 3 = 0} = {3, -1}.
∴ A is a finite set.
(b) B = The set of natural numbers divisible by 2 = { 2, 4, 6, 8, 10,…}.
∴ B is an infinite set.
(c) Since infinite number of lines pass through a point, C is an infinite set.
(d) D = { -4, -3, -2,…}. Clearly D is an infinite set.
- Which of the following sets is non-empty?
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Odd natural numbers are 1,3,5,7,............. so on.......
A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}Correct Option: C
A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}
As per given option.
(a) As no odd natural number is divisible by 2, the set A is empty.
(b) Since no natural number satisfies the equation x + 5 = 0,
∴ B = Φ
(c) Since 2 is an even prime number, i.e., C = {2}, C is not an empty set.
(d) Since there is no natural number between 1 and 2, D is an empty set.
- Write down the power set of C = {1, {2}}.
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NA
Correct Option: B
NA
- Which of the following statements is true?
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NA
Correct Option: A
NA