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Relations and Functions Quiz

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Questions and Answers

Define the concept of relation in mathematics and how it is related to the English language meaning of relation.

The concept of relation in mathematics is derived from the English language meaning of relation, which states that two objects or quantities are related if there is a recognizable connection or link between them.

Provide an example of a relation from set A to set B, where A represents the students of Class XII and B represents the students of Class XI.

An example of a relation from set A to set B could be {(a, b) ∈ A × B: a is b}.

Explain the difference between domain, co-domain, and range in the context of relations and functions.

In the context of relations and functions, the domain refers to the set of inputs or elements from which the relation or function operates, the co-domain refers to the set of possible outputs, and the range refers to the set of actual outputs obtained from the relation or function.

What is the significance of recognizing mathematical beauty?

<p>While it may be difficult to define mathematical beauty, recognizing it allows us to appreciate the elegance and aesthetic appeal of mathematical concepts, theories, and proofs.</p> Signup and view all the answers

According to G. H. Hardy, what is the role of mathematics in the world?

<p>G. H. Hardy believed that there is no permanent place in the world for ugly mathematics and emphasized the importance of mathematics as a discipline that possesses beauty, even if the exact definition of mathematical beauty is elusive.</p> Signup and view all the answers