NCERT Class 11-Math's: Chapter –2 Relations and Functions Part 5

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Question 3:

If

find

(i)

(ii)

Answer:

(i)

(ii)

Question 4:

In each of the following cases, find and .

(i)

(ii)

Answer:

(i)

(ii)

Question 5:

Given . Find the ordered pairs which satisfy the conditions given below:

(i)

(ii)

(iii)

Answer:

(i)

(ii)

(iii)

Question 6:

Given . Find the domain and Range of R.

Answer:

Domain of Range of

Question 7:

If , where is a relation. Then find the domain and Range of .

Answer:

Domain of and Range of

Question 8:

If and y are integers and is a relation. Then find .

Answer:

Question 9:

If is a relation. Then find domain and range of .

Answer:

Question 10:

Is the given relation a function? Give reasons for your answer.

(i)

(ii)

(iii)

(iv)

(v)

Answer:

(i) is not a function

(ii) is a function

(iii) is a function

(iv) is a function

(v) is a constant function

Question 11:

If f and g are real functions defined by and , find each of the following

(a)

(b)

(c)

(d)

(e)

Answer:

(a)

(b)

(c)

(d)