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The carterian product P xx P has 16 elem...

The carterian product `P xx P` has 16 elements among which two elements are (a, b) and (c, d). Find the set P and the remaining elements of `P xx P`.

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To solve the problem, we need to find the set \( P \) and the remaining elements of the Cartesian product \( P \times P \) given that it has 16 elements and two of them are \( (a, b) \) and \( (c, d) \). ### Step-by-Step Solution: 1. **Understanding the Cartesian Product**: The Cartesian product \( P \times P \) consists of all possible ordered pairs where the first element comes from set \( P \) and the second element also comes from set \( P \). If \( P \) has \( n \) elements, then the number of elements in \( P \times P \) is \( n^2 \). 2. **Setting Up the Equation**: ...
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
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  2. If P = {a, e,i,o, u} and Q = {2, 4, 6, 8, 10}, then find the number o...

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  3. The carterian product P xx P has 16 elements among which two elements ...

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  4. Let A = {p, q, r} and B = {1, 2}. Represent (i) A xx B (ii) B xx ...

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  5. Let A = {5, 10, 15} and B = {a(1), a(2), a(3)}. Represent (i) A xx B...

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  6. Let A = {2, 3, 5, 8} and B = {4, 27, 125, 512}, then which of the fol...

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  7. Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}...

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  8. Let R = {(1, -1), (2, 0), (3, 1), (4,2), (5, 3)}. Then (i) Represent R...

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  9. Let A = {1, 2, 3, 4}, B = {1, 3, 4, 8}. Let R = {x, y) : x in A, y in ...

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

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  11. Define a relation R on the set N of all natural numbers by R = {(x, y)...

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  12. Given R = {(x, x^(3)), is a prime number less than 10}. Find the domai...

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  13. Let a R b the relation on the set N of all natural numbers defined by ...

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  14. Given A = {p, q}. List all the relations on A.

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  15. Given A = {-7, 7}. List all the relations on A.

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  16. Let A = {x, y, z} , B = {3, 5}. Find the number of relations from A to...

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  17. Let A = {a(1), b(1), c(1)} , B = {r, t}. Find the number of relations ...

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  18. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

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  19. Let A = {3,5}, B = {7,1}. Let R = {(a,b): ainA, binB, a-b is even}. ...

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  20. Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = (2x)/...

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