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Home/relations and functions

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Asked: January 27, 2025In: Class 12 Maths

If a set A contains 5 elements and the set B contains 6 elements,  then the number of one-one and onto mappings from A to B is

In mathematics, elements are the individual objects or members of a set. A set can contain numbers, letters, or other mathematical objects. For example, in the set A = {1, 2, 3}, the elements are 1, 2, and 3. Elements ...

class 12 mathselementsrelations and functions
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  • 36 Views
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ballu
Asked: January 27, 2025In: Class 12 Maths

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Based on the given information, f is best defined as:

A function f: ℝ → ℝ maps each real number in the domain ℝ to a real number in the range ℝ. For each input x ∈ ℝ, there is a corresponding output f(x) ∈ ℝ. Class 12 Maths Relations and ...

class 12 mathsrelations and functions
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ballu
Asked: January 27, 2025In: Class 12 Maths

The function f R → R defined as f(x) = x³ is:

A function f: ℝ → ℝ maps each real number in the domain ℝ to a real number in the range ℝ. For each input x ∈ ℝ, there is a corresponding output f(x) ∈ ℝ. Class 12 Maths Relations and ...

class 12 mathsrelations and functions
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ballu
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ballu
Asked: January 27, 2025In: Class 12 Maths

Let the relation R in the set A = {x ∈ Z : 0 ≤ x ≤ 12}, given by R = {(a, b) : |a – b| is a multiple of 4}. Then [1],  the equivalence class containing 1, is:

An equivalence class is a subset of a set formed by grouping elements that are equivalent to each other under a given equivalence relation. If a ∼ b, then a and b belong to the same equivalence class. Each equivalence ...

class 12 mathsequivalence classrelations and functions
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ballu
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ballu
Asked: January 27, 2025In: Class 12 Maths

A relation R is defined on Z as: aRb if and only if a² – 7ab + 6b² = 0 Then, R is 

A relation is a connection between elements of two sets, where each element in the first set is associated with one or more elements in the function is a specific type of relation where each input has exactly one output. ...

class 12 mathsrelations and functions
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