2Marks important questions

JUNIOR MATHS MATERIAL
SETS
(2 MARK QUESTIONS)

1. If X = a, b, c, d and Y =  f , b, d , g then find X − Y and Y − X

Sol: Given X = a, b, c, d Y =  f , b, d , g

X − Y = a, b, c, d  -  f , b, d , g = a, c

Y − X =  f , b, d , g − a, b, c, d  =  f , g

2. Draw appropriate Venn diagram for each of the following
i) ( A  B ) '




ii) ( A  B )  ( A  C )




3. State whether each of the following statement is TRUE or FALSE. Justify your answer.
i) a, e, i, o, u and a, b, c, d  are disjoint sets [ F]

Sol :- A = a, e, i, o, u

B = a, b, c, d 

A  B = a  

A,B are not disjoint
ii) 1, 2,3  1,3,5 F 
A = 1, 2,3 B = 1,3,5

A B
1

, Q 2 B
4. Write the following sets in the set builder form
i) A = 3,6,9,12

A = x : x = 3n, n  Nand1  n  4

ii) B = 1, 4,9,16......

B = x : x = n2 , n  N 

5. Let A = 1, 2,3, 4,5,6 B = 2,3,6,8 Find A − B & B − A

Sol: Given A = 1, 2,3, 4,5,6 B = 2,3,6,8

A − B = 1, 2,3, 4,5, 6 − 2,3, 6,8 = 1, 4,5
B − A = 2,3, 6,8 − 1, 2,3, 4,5, 6 = 8

6. Write down all the Subsets of the set 1, 2,3

Sol: Given A = 1, 2,3

Subsets of A   , 1 , 2 , 3 , 1, 2 , 1,3 , 2,3, 1, 2,3

7. Write the following sets in the set build form
i) 3,6,9,12

Sol: Given A = 3,6,9,12

A = x : x = 3n, n  N ,1  n  4

ii) 1, 4,9,.......100

Given
B = 1, 4,9,....100
B =  x : x = n 2 , n  N ,1  n  10

RELATIONS AND FUNCTIONS
(2 MARK QUESTIONS)

8. If A  B = ( a, x )( a, y )( b, x )(b, y ) find A and B

Sol: A  B = ( x, y ) / x  A, y  B

A = a, b B = x, y

9. A function f ( x ) = 2 x − 5 . Write down the values of

i) f ( 0) = 2 ( 0) − 5 = 0 − 5 = −5

ii) f ( 7 ) = 2 ( 7 ) − 5 = 14 − 5 = 9


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