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Question 1
If we define a relation 
on the set 
as 
for all 
then the relation is
on the set as for all then the relation is
Question 2
Let 
denote the words in the English dictionary. Define the relation R by 
. Then, 
is
denote the words in the English dictionary. Define the relation R by . Then, is
Question 3
Let R be a relation on the set of integers given by 
for some integer k. Then, R is
for some integer k. Then, R is
Question 4
In the set 
of all integers, which of the following relation 
is not an equivalence relation?
of all integers, which of the following relation is not an equivalence relation?
Question 5
A relation R is defined on the set N of natural numbers as xRy, x2 - 4xy + 3y2 = 0. Then which one of the following is correct?
Question 6
If f(y) = 3y + 10 , g(y) = 
, then 
is equal to
, then is equal to
Question 7
Find the domain of 
Question 8
The Domain and range of R = 
Question 9
The range of the following functions defined over 
and is given by 
and is given by Question 10
Let A=
.The inverse of the function 
given by 
.is
.The inverse of the function given by .is
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