Bihar Board Class 12th Maths - Class 12 Bihar Board Maths

Relations and Functions

Introduction and Applications Relations and functions are foundational concepts in mathematics, with wide-ranging applications in fields such as pricing and billing, social media, banking systems, biological relationships, education, library databases, mobile communication, electricity billing, transportation, GPS location, and temperature measurement. Understanding their definitions, properties, and...

If A be a set having m-number of elements Then total no. of subsets of A is -

<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>2</mn><msup><mo>)</mo><mi mathvariant="normal">m</mi></msup></math>

Which of the following collections is not a set?

The collection of all intelligent women in Jalandhar

What is the definition of a set as described in the transcript?

A collection of objects that is well-defined

Which of the following is a well-defined set according to the transcript?

The set of natural numbers

What is a Set?

A set is defined as a 'well-defined collection of objects'. A collection is 'well-defined' if its elements are unambiguous and universally agreed upon, meaning everyone identifies the same elements.

What is a Relation?

A relation $R$ from set A to set B is formally defined as any subset of the Cartesian product $A \times B$. This means $R \subseteq A \times B$. It establishes a connection or mapping between elements of set A and elements of set B.