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Mr. Yogender Sharma is husband of Mrs. L...

Mr. Yogender Sharma is husband of Mrs. Leelavati. They have sons and all are married. Five sons Rakesh, Suresh, Munish, Kamlesh and Avnish. Rohini is Munish's wife and Anita is Rakesh's daughter. Neha is a member of Sharma's family. Kamlesh's sister-in-law is Sunita and Aruna's husband. Nisha is Suresh's sister-in-law and lives in the same family. Avnish has no child and so adopts a daughter Ahalya. Express the relation between these members as a function. Find the domain, co-domain and range of the members.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
  1. If A = {4, 9, 16, 25}, B = {1, 2, 3, 4} and R is the relation "is squa...

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  2. Let R be the relation on the set N of natural numbers defined by R={(a...

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  3. Mr. Yogender Sharma is husband of Mrs. Leelavati. They have sons and a...

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  4. If R is the relation "less than" from A = {1, 2, 3, 4, 5} to B = {1, 3...

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  5. Let A = {1, 2, 3, 4, 5, 6, 7, 8} and R be the relation on A defined by...

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  6. Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x...

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  7. Show that the relation 'gt' on the set R of all real numbers is transi...

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  8. Consider that the set A = {a, b, c}. Give an example of a relation R o...

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  9. Let R be the relation of the set Z of all integers defined by : R = ...

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  10. Show that the relation is parallel to on the set S of all straight lin...

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  11. Prove that the relation R on Z defined by (a ,\ b) in RhArr a-b is di...

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  12. Let n be a positive integer. Prove that the relation R on the set Z of...

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  13. Prove that a relation R defined on NxxN where (a, b)R(c, d) <=> ad = ...

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  14. Which of the following graphs represent the function of x ? Why

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  15. Let N be the set of natural numbers and the relation R be defined on ...

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  16. Which of the following relations are functions? Give reason. If it is ...

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  17. Let N be the set of natural numbers. Define a real valued function ...

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  18. Let f = {(1, 2), (2, 3), (0, 1), ( 1, 3)}be a linear function from...

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  19. Let A = {1,2,3},B={4,5} and let f={(1,4),(2,5),(3,5)}. Show that 'f' i...

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  20. Let N rarr N be defined by f(x) = 3x. Show that 'f' is not an onto fun...

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