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### High School Mathematics8.10 Important Points in Relations

 1. A pair of elements a,b put in a particular order say (a,b) is called an ordered pair. 2. Cartesian product of sets: If A and B are two sets A ´ B = {(a,b)/a Î A, b Î B} and A ´ B is read as A cross B. 3. In A ´ B the first co-ordinate belongs to set A, while the second co-ordinate belongs to set B. 4. A ´ B ą B ´ A. 5. If n(A) = a and n(B) = b then n(A ´ B) = ab, where n(A) is number of elements in A and read as the cardinal number of set A. 6. If A = {} and, B = {} then A ´ B = {}. 7. If one of the sets A and B is empty then A ´ B = {}. 8. The Cartesian product of two sets is represented by a) Arrow diagram b) Tree diagram c) Graphical representation. Directions: Choose the correct answer.
 Q 1: If R is a relation then (R-|-| = ______.RR-| Q 2: The range of R is equal to the ____ of R-|.RangeDomain Q 3: The domain of R is equal to the _______ of R-|.DomainRange Q 4: If (a,b) = (5,6) then a = ______.56 Q 5: If A = {1,2} and B = {4,5} then A ´ B = B ´ A, correct it.CorrectNot correct Q 6: If A = {1,4,5} and B = {} then A ´ B.{1,4,5]{}None of these Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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