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

Doorsteptutor material for CBSE is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Fill in the Blank

(a) If and , Then is …

(b) The sets A and B are having elements and , , the is ________

(c) A set Z contains elements, and then the number of elements in the Power set of will be________

(d) The is a rational number) is an________. set

True or False Statement

(1) Set of odd natural numbers divisible by is a null set

(2) Set of even prime numbers is not a null set

(3) is an infinite set

(4) is an infinite set

(5) The set of months of a year is a finite set

(6) is a finite set

(7) is an infinite set

(8) The set of positive integers greater than is an infinite set

(9) The set of lines which are parallel to the axis is an infinite set

(10) The set of letters in the English alphabet is a finite set

(11) The set of natural numbers under which are multiple of is finite set

(12) The set of animals living on the earth is a finite set

(13) The set of circles passing through the origin is a finite set

(14) The set are equal sets

(15) The set

are not equal sets

(16)

(17)

(18)

(19

(20)

(21)

(22)

(23)

(24)

(25)

(26)

(27)

(28)

(29) If and , then

(30) If and , then

(31) If and , then

(32) If and , then

(33) If and , then

(34) If and , then

Solutions

1) T

2) T

3) F

4) F

5) T

6) F

7) F

8) T

9) T

10) T

11) T

12) T

13) F

14) T

15) F

16) T

17) T

18) F

19) F

20) F

21) T

22) T

23) F

24) T

25) F

26) T

27) F

28) T

29) F

30) F

31) T

32) F

33) F

34) T

Subjective Questions

Write the following sets in roster form:

(1) .

(2) .

(3)

(4) .

(5) The set of all letters in the word MATHEMATICS.

(6) The set of all letters in the word INTEGRATION.

Linked Type Comprehension

If ; find

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

If ,

; find

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

(xi)

Subjective Questions

1) In a group of people in USA, can speak Spanish and can speak English. How many people can speak both Spanish and English?

Solution

Let be the set of people who speak Spanish, and

E be the set of people who speak English

We know that:

∴ 400 = 250 + 200 – n (S ∩ E)

Thus, people can speak both Spanish and English.

2) If P and Q are two sets such that P has elements, has elements and has 10 elements, how many elements does Y have?

Solution

It is given that:

We know that:

Thus, the set Q has elements.

Subjective Question on Number of Elements

(a) ?

(b)

(c)

(d)

(e)

(f)

(g)

(h)

Solutions:

a)

b)

c)

d)

e)

f)

g)

h)