STD - 10 MATHS TN - Samacheer Kalvi CHAPTER - 1 Relations & Functions ALL EXERCISES SUMS

 Chapter 1 : RELATIONS & FUNCTIONS

STD - 10 : Maths Chapter - 1 : Sets & Functions Published By : P.Thirukumaresakani M.A.,M.Sc.,B.Ed., GGHSS, KONGANAPURAM, SALEM DT.

Overview of the Sets, Relations, and Functions:-

1. Set: a well-defined collection of distinct objects is called set, denoted by capital letters like A, Q, R, N, …

2. Type of sets: Empty set, equal set, equivalence set. Sets are said to be empty if they contain no element. Sets are said to be equal if they contain the same elements and number elements are also the same.

3. Subsets: a set A is said to be a subset of a set B if all elements of A present in B. And If the number of elements in A is not equal to the number of elements in B, then A is said to be a proper subset of B otherwise improper subset of B

4. Power set, universal set: The collection of all subsets of a set A is called the power set of A. A set that contains all sets in a given context is called the “Universal Set”. The universal set is usually denoted by U, and all its subsets denoted by the letters A, B, C, etc.

1. Sets, roster and set builder form of sets

2. Type of sets, subset, the proper and improper subset
3. Power set, universal set, the union of sets, complement of sets

STD : 10

SUBJECT : MATHS

MEDIUM : ENGLISH 

TOPIC : 1. RELATIONS & FUNCTIONS

EXERCISE : 1.1 

FILE TYPE : VIDEO FORMAT

PREPARED BY : P.THIRUKUMARESAKANI M.A.,M.A.,M.SC.,B.ED.

  

1. Find A x B, A x A and B x A 

     (i) A = {2, 2,3} and B = {1, 4} 

     (ii) A = B = {p, q}

    (iii) A = {m, n}; B = ∅.

2. Let A = {1,2,3} and B = { x/ x is a prime number less than 10}. 

    Find A x B and B x A.

3. If B×A = {( 2,3), ( 2,4), (0,3), (0,4), (3,3), (3,4)} find A and B.

4. If A={5,6}, B={4,5,6}, C={5,6,7}, Show that AxA=(BxB)∩(CxC).

5. Given A={1,2,3},  B={2,3,5}, C={3,4}and D={1,3,5}, check if (A∩C)x(B∩D)=(AxB)∩(CxD) is true?

6. Let A = {x ∈ W /  x < 2},B = { x ∈ N / 1 < x ≤ 4 } and C = { 3, 5}. 

 Verify that 

(i) Ax(BUC) = (AxB)U(AxC)       

(ii) Ax(B∩C) = (AxB)∩(AxC)    

(iii) (AUB)xC=(AxC)U(BxC)

7. Let A = The set of all natural numbers less than 8, B=The set of all prime numbers less than 8, C =The set of even prime number. Verify that 

(i) (A∩B) x c = (AxC)∩(BxC)      

(ii) Ax(B \ C) = (AxB) \ (AxC)