HARD
12th CBSE
IMPORTANT
Earn 100

An integer m is said to be related to another integer n if m is an integral multiple of n. This relation in Z is reflexive, symmetric and transitive.

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Important Questions on Relations and Functions

EASY
12th CBSE
IMPORTANT
Let A={0,1} and be the set of natural numbers. Then the mapping f:A defined by f(2n-1)=0,f(2n)=1, n, is an onto function.
EASY
12th CBSE
IMPORTANT
The relation R on the set A={1,2,3} defined as R={{1,1),(1,2),(2,1),(3,3)} is reflexive, symmetric and transitive.
EASY
12th CBSE
IMPORTANT
The composition of functions is commutative.
EASY
12th CBSE
IMPORTANT
The composition of functions is associative.
EASY
12th CBSE
IMPORTANT
Every function is invertible.
EASY
12th CBSE
IMPORTANT
A binary operation on a set has always the identity element.