Book Back, Exercise, Example Numerical Question with Answers, Solution : Maths : Set Language : Exercise 1.2: Types of Sets

**Exercise 1.2**

**1. Find the cardinal number of the following
sets.**

**(i) M **

**(ii) P = {x : x =
3n+2, n**

**(iii) Q**

**(iv) R
**

**(v) S **

**2. Identify the following sets as finite
or infinite.**

**(i) X = The set of all districts
in Tamilnadu.**

**(ii) Y = The set of all straight
lines passing through a point.**

**(iii) A = { x : x
**

**(iv) B = { x : x^{2}–5x+6
= 0, x **

**3. Which of the following sets are equivalent
or unequal or equal sets?**

**(i) A = The set of vowels in the
English alphabets. **

*B ***= The
set of all letters in the word “VOWEL”**

**(ii) C= {2,3,4,5}**

*D ***= {
x : x **

**(iii) X= { x : x is a letter
in the word “LIFE”}**

*Y***={F, I,L,E}**

**(iv) G= { x : x is a prime
number and 3 < x < 23}**

*H ***= {
x : x is a divisor of 18}**

**4. Identify the following sets as null
set or singleton set.**

**(i) A = {x : x **

**(ii) B = The set of all even natural
numbers which are not divisible by 2**

**(iii) C = {0}.**

**(iv) D = The set of all triangles
having four sides.**

**5. State which pairs of sets are disjoint
or overlapping?**

**(i) A = {f, i,
a, s} and B={a, n, f, h, s}**

**(ii) C = {x : x is
a prime number, x >2} and D ={x:x is an even prime
number}**

**(iii) E = {x : x is
a factor of 24} and F={x : x is a multiple of 3, x <
30}**

**6. If S = {square, rectangle,
circle, rhombus, triangle}, list the elements of the following subset of S.**

**(i) The set of shapes which have 4 equal
sides.**

**(ii) The set of shapes which have radius.**

**(iii) The set of shapes in which the
sum of all interior angles is 180 ^{o}.**

**(iv) The set of shapes which have 5 sides.**

**7. If A = {a, {a,
b}}, write all the subsets of A.**

**8. Write down the power set of the following
sets:**

**(i) A = {a, b} **

**(ii) B = {1, 2, 3} **

**(iii) D = {p, q,
r, s}**

**(iv) E = **

**9. Find the number of subsets and the
number of proper subsets of the following sets.**

**(i) W = {red, blue, yellow}**

**(ii) X = { x^{2}
: x **

**10. If n(A) = 4, find n[P(A)].**

**(ii) If n(A)=0, find
n[P(A)].**

**(iii) If n[P(A)]
= 256, find n(A).**

Tags : Numerical Problems with Answers, Solution | Set Language | Maths , 9th Maths : UNIT 1 : Set Language

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9th Maths : UNIT 1 : Set Language : Exercise 1.2: Types of Sets | Numerical Problems with Answers, Solution | Set Language | Maths

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