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Express {(x,y):x^(2)+y^(2)=25, where x,y...

Express `{(x,y):x^(2)+y^(2)=25`, where `x,y inW}` as a set of ordered pairs.

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A relation R is defined from the set of integer Z to Z as follows: (x,y) in Z hArr x^(2) + y^(2)=25 (i) Express R and R^(-1) as the set of ordered pairs. (ii) Write the domain of R and R^(-1) .

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Frequently Asked Questions
  1. Find x and y, if (2x, x + y) = (6, 2).

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  2. Let A = {a, b}, B = {a, b, c}. What is A xx B?

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  3. If A xxB = {(p , q), (p , r), (m , q), (m , r)}, find A and B.

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  4. Let A and B be two sets such that n(A) = 5 and n(B) = 2. If (a(1), 2),...

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

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  6. Express {(x,y):x^(2)+y^(2)=25, where x,y inW} as a set of ordered pair...

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  7. Few elements of A xx B are (1, 5), (1, 10) and (3, 12). If A = {1, 2, ...

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  8. If P = {1, 2}form the set P xxP xxP.

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  9. Let A = {1, 2, 3, 4}, B = {5, 7, 9}. Determine : (i) A xx B and repr...

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  10. If A={1,3,5},B={x ,y} represent the following products by arrow diagra...

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  11. If A = {1, 2}, B = {3, 4}, C = {4, 5}, find A xx (B uu C).

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  12. मान लीजिए की A = {1, 2, 3}, B = {3, 4} और C = {4, 5, 6}, तो, निम्नलिखि...

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

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  14. Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: A...

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  15. Theorem 1(ii) (For any three set A;B;C ; prove that Axx(BnnC)=(AxxB)nn...

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  16. Theorem 2 (For any three set A;B;C; prove that Axx(B-C)=(AxxB)-(AxxC)

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  17. For any sets A ,B ,C ,D prove that: (AxxB)nn(CxxD)=(AnnC)xx(BnnD)

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