Zeal Study 10th Maths: Relations and Functions Quiz

 

10th Maths - Chapter 1: Relations and Functions (Study Materials)

Key Definitions and Formulae

• Cartesian Product: If A and B are two non-empty sets, then the set of all ordered pairs (a, b) such that a belongs to A and b belongs to B is called the Cartesian product of A and B.

• Formula: A x B = {(a, b) | a belongs to A, b belongs to B}.

• Cardinality: n(A x B) = n(A) x n(B).

• Relations: A relation R from A to B is a subset of the Cartesian product A x B.

• Functions: A relation f from A to B is a function if every element in the domain A has a unique image in the co-domain B.

• Composition of Functions: (f o g)(x) = f(g(x)).

• Note: Composition of functions is generally not commutative (f o g != g o f), but it is associative.

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10th Maths: Relations and Functions

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