CBSE NCERT Solutions for Class 11 Mathematics Chapter 02

Class?XI?CBSE-Mathematics

Relations and Functions

CBSE NCERT Solutions for Class 11 Mathematics Chapter 02

Back of Chapter Questions

Exercise 2.1

1. If

Solution: Step 1:

find the values of x and y.

Given, By comparing the above step we get,

and

Step 2:

Therefore, Overall hint: When two coordinates are equal their abscissa and ordinate are also equal

2. If the set A has elements and the set

, then find the number of elements in

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Relations and Functions

Solution: Step 1:

Given that, Number

has elements and

Step 2: Number of elements in

Set of elements in set

Therefore, the number of elements in

is 9

Overall hint: The total elements in product of two sets is The product of elements in individual sets.

3. If

and

Solution: Step1:

, find

Given that,

As we know that the Cartesian product of two non-empty sets and is defined as

Step 2:

Therefore, Overall hint:

4. State whether each of the following statement is true or false. If the statement is false, rewrite the given statement correctly

(i) If

and

then

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Solution: Step 1: False If

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Overall Hint: If

5. State whether each of the following statement is true or false. If the statement is false, rewrite the given statement correctly Solution:

(ii) If and are non-empty sets, then that and

is a non-empty set of ordered pairs

such

Step1: True

As we know that, If pairs such that

and are non-empty sets, then and

is a non-empty set of ordered

Overall hint: If and are non-empty sets, then is a non-empty set of ordered pairs such that and

6. State whether each of the following statement is true or false. If the statement is false, rewrite the given statement correctly

(iii) If

then

.

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Solution: Step 1: We know that for any non-empty set Overall hint: Given,

is defined as

Overall hint: Step1: True As,

7. If

find

Solution:

8. If Solution: Step 1:

Find and

Given that,

As we know, the Cartesian product of two non-empty sets

and is defined as

Step 2:

Therefore, is the set of all first elements and

Hence,

and

Overall hint:

is the set of all second elements. 4

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9. Solution: Step 1; Given that,

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and

Let . Verify that

(i)

and

...(i) Step 2:

Overall Hint:

.....(ii) is Associative property of 3 Sets

10. is a subset of

Solution: Step 1:

To prove

and is a subset of

Let . Verify that (ii)

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