CBSE Class 11-Physics: Relations Formative Assessment Mathematics (For CBSE, ICSE, IAS, NET, NRA 2022)

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Fill in the Blank

(a) The Cartesian product has elements among which are found and . The set P is … and the remaining elements of

(b) The function is defined as . The value of

(c) The function and . The value is ________

(d) The Function The value of is ________.

True or False Statement

(1) The relation defined as is a function

(2) The relation defined as is not a function

(3) The relation defined as is a function

(4) The below graph is not a function

The below Graph is Not a Function

(5) A function are relations, but all relations are not functioning

(6) A function is defined as

The domain is and Range is

(7) . The total number of relation from is

(8) The below graph is a function

The below Graph is a Function

(9) The below graph is not a function

The Ordered Pair

(9) The ordered pair is a function

(10) The ordered pair is a relation but not function

(11) The ordered pair is a relation and function

Solutions

1) T

2) F

3) F

4) F

5) T

6) T

7) T

8) T

9) T

10) F

11) F

12) F

Subjective Questions

Find the domain and range of the following real function:

(1)

(2)

(3)

(4)

(5)

Linked Type Comprehension

If

find

(i) What is the number of element in

(ii) How many number of relations can be found from

(iii) The mapping defined as is a function from . State True or False

(iv) The mapping defined as is a Relation from . State True or False

(v) Find the value of B × C and C × B

(vi) Find the value of E × E × E

(vii) Verify that A × (B ∩ C) = (A × B) ∩ (A × C)

(viii) is a subset of . State True or false

(ix)

Multiple Choice Questions

1) Given the relation . Which of the following values for will make relation R a function?

a)

b)

c)

d)

Solution: (d)

Subjective Question on Number of Elements

a) What is the domain and range in the relation shown in below mapping

What is the Domain and Range

b) Please tell if the below mapping is function or not

The below Mapping is Function or Not

Subjective Questions

There are two functions defined as below

Let

a) What is the domain and range of

b) What is the domain and range of

c) What is the domain of function

d) List the ordered pair of in set notation

e) What is the domain of

f) List the ordered pair of in set notation

Solution:

a) Domain of

Range of

b) Domain of

Range of

c) The domain of function is the intersection of domain of P and Q

So, Domain of

d)

e) The domain for is as on function is zero

f) The ordered pair of