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If P={a,b,c} and Q={r}, form the sets P ...

If P={a,b,c} and Q={r}, form the sets `P xx Q and Q xx P`. Check if the products are equal or not?

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The correct Answer is:
(i) `P xx Q= {(a,r), (b,r), (c, r)` (ii) `Q xx P = {(r,a),(r,b),(r,c)}` , (iii) `P xx Q ne Q xx P`
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Textbook Illustrations for Practice Work
  1. If (x+1, y-2)=(3,1), find the values of x and y.

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  2. If P={a,b,c} and Q={r}, form the sets P xx Q and Q xx P. Check if the...

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  3. Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find A xx (B nn C)

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  4. Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find (A xx B) nn (A x...

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  5. Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find (A xx (B uuC)

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  6. Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find (A xx B) uu (A xx...

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  7. If P={1,2}, form the set P xx P xx P

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  8. If R is the set of all real numbers, what do the cartesian products R ...

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  9. If A xx B={(,(p,q),(p,r)),(,(m,q),(m,r)):}}, find A and B.

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  10. Let A={1,2,3,4,5,6}. Define a relation R form A to A by R= {(x,y) : y=...

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  11. Let A={1,2,3....14}. Define a relation R from A to A by R={(x,y) : 3x-...

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  12. The figure shows a relation between the sets P and Q. Write this relat...

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  13. Let A={1,2} and B={3,4}. Find the number of relations from A to B.

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

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  15. Examine each of the following relations given below and state in each ...

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  16. Examine each of the following relations given below and state in each ...

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  17. Examine each of the following relations given below and state in each ...

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  18. Let N be the set of natural numbers. Define a real valued function f: ...

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  19. Define the function f: R to R by y=f(x)=x^(2), x in R. Complete the Ta...

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  20. Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R...

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