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NCERT Class 11- Math՚s: Chapter – 2 Relations and Functions Part 4
Question 10:
Find the domain of the function given by
Answer:
Given that is defined
Or
Or
Or
Hence Domain
Objective Type Questions
Choose the correct answer out of the four given possible answers (M. C. Q.)
Question 11:
The domain of the function defined by is
(A)
(B)
(C)
(D) None of these
Answer:
The correct answer is (D) . Given that
Where
Thus is not defined for any .
Hence f is not defined for any , i.e.. Domain of is none of the given options.
Question 12:
If is equal to
(A)
(B)
(C)
(D)
Answer:
The correct choice is C.
Since
Hence,
Question 13:
Let A and B be any two sets such that then the total number of functions is equal to ________.
Answer:
Any element of set A, say can be connected with the element of set B in p ways. Hence, there are exactly functions.
Question 14:
Let f and g be two functions given by
then. Domain of is ________
Answer:
Since Domain of and Domain of , therefore the domain of
EXERCISE
Short Answer Type
Question 1:
Let and . Determine
(i)
(ii)
(iii)
(iv)
Answer:
(i)
(ii)
(iii)
(iv)
Question 2:
If , where
W is the set of whole numbers.
Answer: